Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325n |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640000 |
Modular degree for the optimal curve |
Δ |
1.4227637400361E+21 |
Discriminant |
Eigenvalues |
0 3 5- -4 -2 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2851900,378059506] |
[a1,a2,a3,a4,a6] |
Generators |
[3775110:496759357:216] |
Generators of the group modulo torsion |
j |
87241870540800/48387275053 |
j-invariant |
L |
7.3946662578537 |
L(r)(E,1)/r! |
Ω |
0.13147304652417 |
Real period |
R |
9.3741220462227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999383554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325i1 6175i1 |
Quadratic twists by: 5 -19 |