Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800bk |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-99072000 = -1 · 211 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 4 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19888,1072928] |
[a1,a2,a3,a4,a6] |
Generators |
[83:30:1] |
Generators of the group modulo torsion |
j |
-3398434606474/387 |
j-invariant |
L |
5.8300992447177 |
L(r)(E,1)/r! |
Ω |
1.4649676079671 |
Real period |
R |
0.99491948030302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600r1 77400w1 25800g1 |
Quadratic twists by: -4 -3 5 |