Atkin-Lehner |
5- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90475i |
Isogeny class |
Conductor |
90475 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8910720 |
Modular degree for the optimal curve |
Δ |
2.0893721522426E+21 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ 11- 5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20562125,-35820623594] |
[a1,a2,a3,a4,a6] |
Generators |
[-2675:6462:1] [-2525:537:1] |
Generators of the group modulo torsion |
j |
2461317629013396910080/5348792709741173 |
j-invariant |
L |
5.6346238690912 |
L(r)(E,1)/r! |
Ω |
0.070907024455618 |
Real period |
R |
2.2073600025878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000711 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90475e1 |
Quadratic twists by: 5 |