Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707o |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-84026257822143 = -1 · 32 · 79 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6638,389351] |
[a1,a2,a3,a4,a6] |
Generators |
[55:932:1] |
Generators of the group modulo torsion |
j |
801765089/2082249 |
j-invariant |
L |
7.4990133069197 |
L(r)(E,1)/r! |
Ω |
0.42491863563415 |
Real period |
R |
4.412028961425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70707d1 |
Quadratic twists by: -7 |