Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
90738n |
Isogeny class |
Conductor |
90738 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-22049334 = -1 · 2 · 37 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 0 6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306,-1998] |
[a1,a2,a3,a4,a6] |
Generators |
[21:12:1] |
Generators of the group modulo torsion |
j |
-863857/6 |
j-invariant |
L |
4.6919963665163 |
L(r)(E,1)/r! |
Ω |
0.57041705137224 |
Real period |
R |
2.0563885414159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30246g1 90738m1 |
Quadratic twists by: -3 -71 |