Atkin-Lehner |
2+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680o |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
11960000 = 26 · 54 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 0 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407,3156] |
[a1,a2,a3,a4,a6] |
j |
116500279104/186875 |
j-invariant |
L |
2.2572330236784 |
L(r)(E,1)/r! |
Ω |
2.2572328523192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95680r1 47840b4 |
Quadratic twists by: -4 8 |