Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192bd |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
19120976 = 24 · 72 · 293 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,130] |
[a1,a2,a3,a4,a6] |
Generators |
[18:70:1] |
Generators of the group modulo torsion |
j |
131072/49 |
j-invariant |
L |
4.0958259514798 |
L(r)(E,1)/r! |
Ω |
1.9837157880223 |
Real period |
R |
2.0647241754183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23548e1 94192bc1 |
Quadratic twists by: -4 29 |