Atkin-Lehner |
2+ 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
36846j |
Isogeny class |
Conductor |
36846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35136 |
Modular degree for the optimal curve |
Δ |
-58744425258 = -1 · 2 · 315 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4347,112023] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:396:1] |
Generators of the group modulo torsion |
j |
-12462962856625/80582202 |
j-invariant |
L |
4.8717066291706 |
L(r)(E,1)/r! |
Ω |
1.1181632942523 |
Real period |
R |
1.0892207458008 |
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 |
12282j1 |
Quadratic twists by: -3 |