Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590ce |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
1285372800000 = 210 · 36 · 55 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1119917,456449941] |
[a1,a2,a3,a4,a6] |
Generators |
[611:-296:1] |
Generators of the group modulo torsion |
j |
213085222187021631369/1763200000 |
j-invariant |
L |
10.490827854487 |
L(r)(E,1)/r! |
Ω |
0.59602840560948 |
Real period |
R |
0.35202442553927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510d1 |
Quadratic twists by: -3 |