Atkin-Lehner |
5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
123725b |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2472960 |
Modular degree for the optimal curve |
Δ |
-2.0099958252295E+19 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -5 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,605967,-116260406] |
[a1,a2,a3,a4,a6] |
j |
39027212288/31878125 |
j-invariant |
L |
1.91716731685 |
L(r)(E,1)/r! |
Ω |
0.11982293169872 |
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 |
24745a1 123725k1 |
Quadratic twists by: 5 -7 |