Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400i |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-120832000000 = -1 · 217 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -1 -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,767,14337] |
[a1,a2,a3,a4,a6] |
Generators |
[207:3000:1] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
9.097732956529 |
L(r)(E,1)/r! |
Ω |
0.73066251502849 |
Real period |
R |
3.1128368989639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400cx1 11800g1 3776d1 |
Quadratic twists by: -4 8 5 |