Atkin-Lehner |
2- 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536bb |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1344526307328 = 212 · 3 · 17 · 235 |
Discriminant |
Eigenvalues |
2- 3- 0 3 0 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66493,-6621493] |
[a1,a2,a3,a4,a6] |
j |
7937762099392000/328253493 |
j-invariant |
L |
2.9730766501011 |
L(r)(E,1)/r! |
Ω |
0.29730766501061 |
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 |
37536b1 75072k1 112608m1 |
Quadratic twists by: -4 8 -3 |