Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117216r |
Isogeny class |
Conductor |
117216 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
4.5686970743911E+24 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2829585036,57933738472480] |
[a1,a2,a3,a4,a6] |
Generators |
[37148:2020788:1] |
Generators of the group modulo torsion |
j |
839082157271345371360241728/1530047406279184551 |
j-invariant |
L |
5.5084337546601 |
L(r)(E,1)/r! |
Ω |
0.066293568128408 |
Real period |
R |
2.0772881585645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117216bb2 39072n2 |
Quadratic twists by: -4 -3 |