Atkin-Lehner |
3- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725q |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2056403415234375 = -1 · 34 · 58 · 23 · 414 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10249,2145773] |
[a1,a2,a3,a4,a6] |
j |
7620949383839/131609818575 |
j-invariant |
L |
2.7706060250409 |
L(r)(E,1)/r! |
Ω |
0.34632575522818 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14145a1 |
Quadratic twists by: 5 |