Atkin-Lehner |
3+ 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70587b |
Isogeny class |
Conductor |
70587 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
110068497297 = 39 · 11 · 232 · 312 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3552,-79021] |
[a1,a2,a3,a4,a6] |
Generators |
[-250:341:8] [-242:183:8] |
Generators of the group modulo torsion |
j |
251837305875/5592059 |
j-invariant |
L |
11.31423266792 |
L(r)(E,1)/r! |
Ω |
0.61924499499185 |
Real period |
R |
9.1355059463403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70587a1 |
Quadratic twists by: -3 |