Atkin-Lehner |
2+ 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320a |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-483832743091200 = -1 · 210 · 33 · 52 · 176 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6576,-1075824] |
[a1,a2,a3,a4,a6] |
Generators |
[128:404:1] |
Generators of the group modulo torsion |
j |
-30716746229956/472492913175 |
j-invariant |
L |
3.8413694799541 |
L(r)(E,1)/r! |
Ω |
0.22494832301519 |
Real period |
R |
4.2691688450069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999753786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59160f1 |
Quadratic twists by: -4 |