Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cv |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-3875000000 = -1 · 26 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- -4 6 6 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83,-3037] |
[a1,a2,a3,a4,a6] |
j |
-512/31 |
j-invariant |
L |
1.2267114150128 |
L(r)(E,1)/r! |
Ω |
0.61335570732563 |
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 |
49600cp1 24800k1 49600cx1 |
Quadratic twists by: -4 8 5 |