Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bv |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
560 |
Product of Tamagawa factors cp |
deg |
26611200 |
Modular degree for the optimal curve |
Δ |
-7.0287421289969E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45347023,-420143159422] |
[a1,a2,a3,a4,a6] |
Generators |
[54484:-12630655:1] |
Generators of the group modulo torsion |
j |
-219203980537177787761/1494018600480000000 |
j-invariant |
L |
5.5856470267133 |
L(r)(E,1)/r! |
Ω |
0.025849865748645 |
Real period |
R |
0.38585769790218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3990v1 |
Quadratic twists by: -19 |