Atkin-Lehner |
2+ 3- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
70290f |
Isogeny class |
Conductor |
70290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
8454832650000 = 24 · 39 · 55 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1123110,458403300] |
[a1,a2,a3,a4,a6] |
j |
214913295528450276961/11597850000 |
j-invariant |
L |
2.2073479800679 |
L(r)(E,1)/r! |
Ω |
0.55183699695993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23430j1 |
Quadratic twists by: -3 |