Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300bd |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-1.7500577504764E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 5 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6125,-636479375] |
[a1,a2,a3,a4,a6] |
j |
-34560/238003927 |
j-invariant |
L |
2.6475793965979 |
L(r)(E,1)/r! |
Ω |
0.082736854097692 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83300w1 11900e1 |
Quadratic twists by: 5 -7 |