Atkin-Lehner |
3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185g |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-902508420555 = -1 · 32 · 5 · 710 · 71 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- -2 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-800,-46264] |
[a1,a2,a3,a4,a6] |
j |
-200704/3195 |
j-invariant |
L |
0.7601370349878 |
L(r)(E,1)/r! |
Ω |
0.38006851688302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52185h1 |
Quadratic twists by: -7 |