Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bh |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-96378060800 = -1 · 215 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 5 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-30017] |
[a1,a2,a3,a4,a6] |
j |
-5000 |
j-invariant |
L |
2.9719143417584 |
L(r)(E,1)/r! |
Ω |
0.37148929800399 |
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 |
78400bx1 39200m1 78400fa1 1600d1 |
Quadratic twists by: -4 8 5 -7 |