Atkin-Lehner |
5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74725r |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-45065500965555875 = -1 · 53 · 713 · 612 |
Discriminant |
Eigenvalues |
0 3 5- 7- 3 3 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,43610,9593281] |
[a1,a2,a3,a4,a6] |
j |
623711453184/3064403503 |
j-invariant |
L |
4.1342339479898 |
L(r)(E,1)/r! |
Ω |
0.25838962161148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74725s1 10675o1 |
Quadratic twists by: 5 -7 |