Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320q |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
20116026000 = 24 · 39 · 53 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-896,-7455] |
[a1,a2,a3,a4,a6] |
j |
4977512644864/1257251625 |
j-invariant |
L |
1.7774834426291 |
L(r)(E,1)/r! |
Ω |
0.8887417223454 |
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 |
122640n1 |
Quadratic twists by: -4 |