Atkin-Lehner |
2- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580c |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-4126571381422000 = -1 · 24 · 53 · 78 · 713 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10061,-3118340] |
[a1,a2,a3,a4,a6] |
Generators |
[9571:936341:1] |
Generators of the group modulo torsion |
j |
-1221197824/44738875 |
j-invariant |
L |
3.5146247892403 |
L(r)(E,1)/r! |
Ω |
0.19143464291927 |
Real period |
R |
6.1197993124394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002552 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
69580s1 |
Quadratic twists by: -7 |