Atkin-Lehner |
2- 5- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700t |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
81720 |
Modular degree for the optimal curve |
Δ |
-7168750000 = -1 · 24 · 58 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- -3 2 5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-9838] |
[a1,a2,a3,a4,a6] |
j |
-10240000/1147 |
j-invariant |
L |
3.9735256085796 |
L(r)(E,1)/r! |
Ω |
0.44150278771194 |
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 |
114700o1 |
Quadratic twists by: 5 |