Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cg |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
1217814211250 = 2 · 54 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 6 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2680,6297] |
[a1,a2,a3,a4,a6] |
j |
590625/338 |
j-invariant |
L |
4.4376668523665 |
L(r)(E,1)/r! |
Ω |
0.73961114206116 |
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 |
31850a1 31850ch1 |
Quadratic twists by: 5 -7 |