Atkin-Lehner |
2- 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264ci |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-17388841992192 = -1 · 222 · 36 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5279,-134113] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1155:1] |
Generators of the group modulo torsion |
j |
62052103079/66333168 |
j-invariant |
L |
12.873427392364 |
L(r)(E,1)/r! |
Ω |
0.37459928262502 |
Real period |
R |
2.8638218608698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264e1 24816k1 |
Quadratic twists by: -4 8 |