Atkin-Lehner |
2- 3+ 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31518k |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-299982776832 = -1 · 29 · 39 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3350,-78299] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-973:1] |
Generators of the group modulo torsion |
j |
-211176358875/15240704 |
j-invariant |
L |
9.1920387112294 |
L(r)(E,1)/r! |
Ω |
0.31247720778204 |
Real period |
R |
0.81712970509954 |
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 |
31518a1 |
Quadratic twists by: -3 |