Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
71148c |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-4347980087877888 = -1 · 28 · 3 · 74 · 119 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11+ 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21740,-2930024] |
[a1,a2,a3,a4,a6] |
j |
784/3 |
j-invariant |
L |
1.774422992338 |
L(r)(E,1)/r! |
Ω |
0.22180287231233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148bv1 71148d1 |
Quadratic twists by: -7 -11 |