Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800u |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1071794405000000 = 26 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11- 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31258,1440012] |
[a1,a2,a3,a4,a6] |
j |
1906624/605 |
j-invariant |
L |
3.6310230651128 |
L(r)(E,1)/r! |
Ω |
0.45387786294164 |
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 |
96800z1 19360bb1 8800z1 |
Quadratic twists by: -4 5 -11 |