Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90944cb |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1089536 |
Modular degree for the optimal curve |
Δ |
-116905326643474432 = -1 · 212 · 79 · 294 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768777,-259711927] |
[a1,a2,a3,a4,a6] |
Generators |
[106978229049:6231570439816:29503629] |
Generators of the group modulo torsion |
j |
-304006671424/707281 |
j-invariant |
L |
10.464394990684 |
L(r)(E,1)/r! |
Ω |
0.080604424509067 |
Real period |
R |
16.228009595627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90944cg1 45472bc1 90944ci1 |
Quadratic twists by: -4 8 -7 |