Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312p |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-8.6342965326703E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 6 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,316959,441652833] |
[a1,a2,a3,a4,a6] |
j |
13433577463965959/329372273737728 |
j-invariant |
L |
5.7472800588937 |
L(r)(E,1)/r! |
Ω |
0.14368199777145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117312dc1 3666h1 |
Quadratic twists by: -4 8 |