Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320u |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
14324352000 = 210 · 3 · 53 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-680,3900] |
[a1,a2,a3,a4,a6] |
j |
34008619684/13988625 |
j-invariant |
L |
3.3998309373661 |
L(r)(E,1)/r! |
Ω |
1.1332769781703 |
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 |
122640t1 |
Quadratic twists by: -4 |