Atkin-Lehner |
2+ 3- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
117150u |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
31825920 |
Modular degree for the optimal curve |
Δ |
-3.3937349566274E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3893449,-88583670502] |
[a1,a2,a3,a4,a6] |
Generators |
[7812:-650894:1] |
Generators of the group modulo torsion |
j |
417741207055683511967/217199037224152203264 |
j-invariant |
L |
6.7345650515094 |
L(r)(E,1)/r! |
Ω |
0.037102586388614 |
Real period |
R |
1.0804286302392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4686b1 |
Quadratic twists by: 5 |