Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31603b |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-283574917733393 = -1 · 112 · 1310 · 17 |
Discriminant |
Eigenvalues |
1 -1 0 3 11+ 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14875,1063418] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1186:1] |
Generators of the group modulo torsion |
j |
-2640625/2057 |
j-invariant |
L |
5.1466745336962 |
L(r)(E,1)/r! |
Ω |
0.50365646008376 |
Real period |
R |
5.1093105535073 |
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 |
31603j1 |
Quadratic twists by: 13 |