Atkin-Lehner |
2+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350h |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-57917440000000 = -1 · 220 · 57 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6692,-420784] |
[a1,a2,a3,a4,a6] |
j |
-2121328796049/3706716160 |
j-invariant |
L |
0.49844040104027 |
L(r)(E,1)/r! |
Ω |
0.24922020051746 |
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 |
7070e1 |
Quadratic twists by: 5 |