Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590p |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
160000 |
Modular degree for the optimal curve |
Δ |
-9760799700000 = -1 · 25 · 311 · 55 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26775,-1686339] |
[a1,a2,a3,a4,a6] |
Generators |
[15081:1844322:1] |
Generators of the group modulo torsion |
j |
-2912015927948401/13389300000 |
j-invariant |
L |
5.3397351843417 |
L(r)(E,1)/r! |
Ω |
0.18655932605314 |
Real period |
R |
7.1555457683205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530ba1 |
Quadratic twists by: -3 |