Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590bp |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
15333120 |
Modular degree for the optimal curve |
Δ |
-4.6510615617513E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127245983,562168116231] |
[a1,a2,a3,a4,a6] |
j |
-312556419987487420229732521/6380057012004525312000 |
j-invariant |
L |
5.1000933554924 |
L(r)(E,1)/r! |
Ω |
0.077274141753814 |
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 |
16530k1 |
Quadratic twists by: -3 |