Atkin-Lehner |
2+ 3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350w |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-94550400000000000 = -1 · 216 · 32 · 511 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,64249,13405898] |
[a1,a2,a3,a4,a6] |
j |
1877208536357279/6051225600000 |
j-invariant |
L |
0.95572618983835 |
L(r)(E,1)/r! |
Ω |
0.2389315508191 |
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 |
14070i1 |
Quadratic twists by: 5 |