Atkin-Lehner |
2+ 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
70950b |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
353092608000000 = 216 · 36 · 56 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-181725,29728125] |
[a1,a2,a3,a4,a6] |
j |
42476766863084497/22597926912 |
j-invariant |
L |
1.0633190763047 |
L(r)(E,1)/r! |
Ω |
0.53165953656122 |
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 |
2838e1 |
Quadratic twists by: 5 |