Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11700s |
Isogeny class |
Conductor |
11700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-909792000 = -1 · 28 · 37 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-480,-4300] |
[a1,a2,a3,a4,a6] |
j |
-524288/39 |
j-invariant |
L |
2.031263227437 |
L(r)(E,1)/r! |
Ω |
0.50781580685924 |
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 |
46800er1 3900e1 11700w1 |
Quadratic twists by: -4 -3 5 |