Atkin-Lehner |
2- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
31312p |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
1044636454912 = 212 · 195 · 103 |
Discriminant |
Eigenvalues |
2- 1 -4 1 4 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8360,-292876] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:16:1] |
Generators of the group modulo torsion |
j |
15777367606441/255038197 |
j-invariant |
L |
4.6448707860812 |
L(r)(E,1)/r! |
Ω |
0.49976892784489 |
Real period |
R |
2.3235091895923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1957a1 125248bp1 |
Quadratic twists by: -4 8 |