Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478bg |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
47429369856 = 214 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3003,-61723] |
[a1,a2,a3,a4,a6] |
j |
11382465033/180224 |
j-invariant |
L |
2.5821455154039 |
L(r)(E,1)/r! |
Ω |
0.64553638352454 |
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 |
7942o1 71478cl1 |
Quadratic twists by: -3 -19 |