Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
125736x |
Isogeny class |
Conductor |
125736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-12945488864256 = -1 · 210 · 34 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 0 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3280,186512] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:372:1] [16:372:1] |
Generators of the group modulo torsion |
j |
-22557500836/74805201 |
j-invariant |
L |
13.886904373214 |
L(r)(E,1)/r! |
Ω |
0.62221258008062 |
Real period |
R |
0.69745578226067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125736k1 |
Quadratic twists by: 13 |