Atkin-Lehner |
5- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525v |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152640 |
Modular degree for the optimal curve |
Δ |
40411926953125 = 58 · 72 · 133 · 312 |
Discriminant |
Eigenvalues |
0 1 5- 7- -2 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8583,8869] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:387:1] |
Generators of the group modulo torsion |
j |
179032391680/103454533 |
j-invariant |
L |
4.9307145125609 |
L(r)(E,1)/r! |
Ω |
0.54763785237835 |
Real period |
R |
0.75030035673138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525f1 |
Quadratic twists by: 5 |