Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600br |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
31470387200 = 219 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 2 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1715,25970] |
[a1,a2,a3,a4,a6] |
j |
2268945/128 |
j-invariant |
L |
2.3079891305857 |
L(r)(E,1)/r! |
Ω |
1.1539945652928 |
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 |
2450a1 78400fw1 19600dd1 19600ca1 |
Quadratic twists by: -4 8 5 -7 |