Atkin-Lehner |
2- 3- 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314bf |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
708797020372992 = 217 · 37 · 313 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 3 0 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36221,-2314555] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:616:1] |
Generators of the group modulo torsion |
j |
7208854364036233/972286722048 |
j-invariant |
L |
6.809428982181 |
L(r)(E,1)/r! |
Ω |
0.34915679623876 |
Real period |
R |
0.09560047002903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438j1 |
Quadratic twists by: -3 |