Atkin-Lehner |
2+ 3- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
36846h |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
6315257016 = 23 · 36 · 233 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-468,-648] |
[a1,a2,a3,a4,a6] |
Generators |
[27:63:1] |
Generators of the group modulo torsion |
j |
15568817473/8662904 |
j-invariant |
L |
5.5104345959766 |
L(r)(E,1)/r! |
Ω |
1.1008595300646 |
Real period |
R |
2.5027873427466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094g1 |
Quadratic twists by: -3 |