Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400z |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
20449000000 = 26 · 56 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1225,15000] |
[a1,a2,a3,a4,a6] |
j |
203297472/20449 |
j-invariant |
L |
2.358973930688 |
L(r)(E,1)/r! |
Ω |
1.1794873045509 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114400t1 4576d1 |
Quadratic twists by: -4 5 |