Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498v |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-875434694787072 = -1 · 214 · 36 · 77 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13092,1539152] |
[a1,a2,a3,a4,a6] |
j |
-2893640625/10207232 |
j-invariant |
L |
1.7487512385906 |
L(r)(E,1)/r! |
Ω |
0.437187818046 |
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 |
8722m1 11214c1 |
Quadratic twists by: -3 -7 |