Atkin-Lehner |
2- 3+ 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194v |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-4015509209088 = -1 · 224 · 3 · 13 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3621,49065] |
[a1,a2,a3,a4,a6] |
Generators |
[387:7526:1] |
Generators of the group modulo torsion |
j |
5250513632788943/4015509209088 |
j-invariant |
L |
5.6069718774313 |
L(r)(E,1)/r! |
Ω |
0.50111021113505 |
Real period |
R |
3.7296997432502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75582o1 |
Quadratic twists by: -3 |