Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
95304n |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-670686079536 = -1 · 24 · 34 · 11 · 196 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,241,-39456] |
[a1,a2,a3,a4,a6] |
Generators |
[6205:37989:125] |
Generators of the group modulo torsion |
j |
2048/891 |
j-invariant |
L |
5.162791765874 |
L(r)(E,1)/r! |
Ω |
0.42521464327524 |
Real period |
R |
6.0708066518969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924758 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
264c1 |
Quadratic twists by: -19 |