Atkin-Lehner |
2+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95830c |
Isogeny class |
Conductor |
95830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1647455040 |
Modular degree for the optimal curve |
Δ |
-1.3802532107013E+35 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 6 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-331814379983,75708532033927973] |
[a1,a2,a3,a4,a6] |
Generators |
[366332389033924697549463667039073391841628211015247951902767888854367557658891919276756558421453251928749438699:631614757006032872580974338228723973633108854855955637198293466904673594584329179180017136863130364286990924663057:3193076975320261690932483090010063979583386003997610802667937128551756493592873002201772459044616043874249] |
Generators of the group modulo torsion |
j |
-1574704170311588536689715160881/53795806359541618750000000 |
j-invariant |
L |
7.0247337767794 |
L(r)(E,1)/r! |
Ω |
0.010300350332195 |
Real period |
R |
170.49744790773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2590f1 |
Quadratic twists by: 37 |