Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008u |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1382019800256 = -1 · 26 · 33 · 17 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1674,-62964] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:10455:8] |
Generators of the group modulo torsion |
j |
-8110908618688/21594059379 |
j-invariant |
L |
5.9216933715461 |
L(r)(E,1)/r! |
Ω |
0.34669409732285 |
Real period |
R |
5.6934854263678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008p1 62016cd2 93024l1 |
Quadratic twists by: -4 8 -3 |