Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400cf |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-125440000000 = -1 · 215 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 3 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,31137] |
[a1,a2,a3,a4,a6] |
j |
-19208/5 |
j-invariant |
L |
3.9720547430653 |
L(r)(E,1)/r! |
Ω |
0.99301369075813 |
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 |
78400cu1 39200p1 15680bw1 78400l1 |
Quadratic twists by: -4 8 5 -7 |