Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325j |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-5519657988325 = -1 · 52 · 13 · 198 |
Discriminant |
Eigenvalues |
1 0 5+ 1 5 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3497,139126] |
[a1,a2,a3,a4,a6] |
Generators |
[-4620:9169:64] |
Generators of the group modulo torsion |
j |
-4021785/4693 |
j-invariant |
L |
8.4871688528594 |
L(r)(E,1)/r! |
Ω |
0.69003463844283 |
Real period |
R |
3.0749068053664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325p1 6175a1 |
Quadratic twists by: 5 -19 |