Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405h |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10395648 |
Modular degree for the optimal curve |
Δ |
1.5817867493516E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -3 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122387850,-521107287125] |
[a1,a2,a3,a4,a6] |
Generators |
[-5149488581707186418590:4016248979137990931669:805745963220880375] |
Generators of the group modulo torsion |
j |
11679607249441/91125 |
j-invariant |
L |
7.580596916774 |
L(r)(E,1)/r! |
Ω |
0.045390522437214 |
Real period |
R |
27.834727419363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33135f1 99405p1 |
Quadratic twists by: -3 -47 |