Atkin-Lehner |
2+ 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224x |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2187264 |
Modular degree for the optimal curve |
Δ |
10016326715472 = 24 · 38 · 73 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14252719,-20715447820] |
[a1,a2,a3,a4,a6] |
j |
20012296492949906452559872/626020419717 |
j-invariant |
L |
3.7296352346888 |
L(r)(E,1)/r! |
Ω |
0.077700734006782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112b1 |
Quadratic twists by: -4 |