Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920t |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-789048313200 = -1 · 24 · 36 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1623,49597] |
[a1,a2,a3,a4,a6] |
Generators |
[18:1715:8] |
Generators of the group modulo torsion |
j |
-40535147776/67648175 |
j-invariant |
L |
5.4184396219717 |
L(r)(E,1)/r! |
Ω |
0.80210716790406 |
Real period |
R |
1.6888141246536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999324579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57960q1 12880f1 |
Quadratic twists by: -4 -3 |