Atkin-Lehner |
2- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
121024z |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2293760 |
Modular degree for the optimal curve |
Δ |
-14767824830464 = -1 · 218 · 314 · 61 |
Discriminant |
Eigenvalues |
2- 2 3 3 3 -5 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3317249,2326600097] |
[a1,a2,a3,a4,a6] |
j |
-15399908364408365953/56334781 |
j-invariant |
L |
7.501757953352 |
L(r)(E,1)/r! |
Ω |
0.46885996644279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024g1 30256h1 |
Quadratic twists by: -4 8 |