Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
74725b |
Isogeny class |
Conductor |
74725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-19623485546875 = -1 · 58 · 77 · 61 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 0 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5991883,-5647376731] |
[a1,a2,a3,a4,a6] |
j |
-12942122082402304/10675 |
j-invariant |
L |
0.19299174061707 |
L(r)(E,1)/r! |
Ω |
0.048247934048415 |
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 |
14945e1 10675b1 |
Quadratic twists by: 5 -7 |