Atkin-Lehner |
2- 3- 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31476g |
Isogeny class |
Conductor |
31476 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
5464453176576 = 28 · 37 · 43 · 613 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -4 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12301,-517057] |
[a1,a2,a3,a4,a6] |
j |
804156001460224/21345520221 |
j-invariant |
L |
3.1784336302754 |
L(r)(E,1)/r! |
Ω |
0.45406194718205 |
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 |
125904c1 94428h1 |
Quadratic twists by: -4 -3 |