Atkin-Lehner |
11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31603g |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
1677958093097 = 112 · 138 · 17 |
Discriminant |
Eigenvalues |
-1 -2 -4 0 11+ 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6510,-192869] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:71:1] [-51:110:1] |
Generators of the group modulo torsion |
j |
6321363049/347633 |
j-invariant |
L |
2.7813733571099 |
L(r)(E,1)/r! |
Ω |
0.53332215705977 |
Real period |
R |
2.6075921657207 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2431c1 |
Quadratic twists by: 13 |