Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480bo |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-208676079705600000 = -1 · 212 · 39 · 55 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-917365,-338598275] |
[a1,a2,a3,a4,a6] |
Generators |
[3180:169975:1] |
Generators of the group modulo torsion |
j |
-20844464253240180736/50946308521875 |
j-invariant |
L |
6.7401790370555 |
L(r)(E,1)/r! |
Ω |
0.077120597958418 |
Real period |
R |
4.3698954686103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5655g1 |
Quadratic twists by: -4 |