Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480s |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
74544210000 = 24 · 32 · 54 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1495,17468] |
[a1,a2,a3,a4,a6] |
Generators |
[8:78:1] |
Generators of the group modulo torsion |
j |
23110948673536/4659013125 |
j-invariant |
L |
8.8115432903454 |
L(r)(E,1)/r! |
Ω |
1.0328611884006 |
Real period |
R |
1.066399748006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45240d1 |
Quadratic twists by: -4 |