Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600de |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
123863040 |
Modular degree for the optimal curve |
Δ |
1.0770650185222E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7813969158,265858972088688] |
[a1,a2,a3,a4,a6] |
Generators |
[22928:9937500:1] |
Generators of the group modulo torsion |
j |
448487713888272974160064/91549016015625 |
j-invariant |
L |
8.7297081252684 |
L(r)(E,1)/r! |
Ω |
0.057022410575515 |
Real period |
R |
5.4675922663951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715907 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117600bc1 23520bf1 16800i1 |
Quadratic twists by: -4 5 -7 |