Atkin-Lehner |
11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31603l |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1677958093097 = -1 · 112 · 138 · 17 |
Discriminant |
Eigenvalues |
1 -3 2 -1 11- 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-961,63610] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:190:1] |
Generators of the group modulo torsion |
j |
-120393/2057 |
j-invariant |
L |
3.8196510134299 |
L(r)(E,1)/r! |
Ω |
0.70952095718359 |
Real period |
R |
0.89723706649239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31603h1 |
Quadratic twists by: 13 |