Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032o |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-1008974722236416 = -1 · 219 · 13 · 236 |
Discriminant |
Eigenvalues |
2- 3 1 1 -2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22747,2019722] |
[a1,a2,a3,a4,a6] |
Generators |
[1998447:34595542:35937] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
15.039288044967 |
L(r)(E,1)/r! |
Ω |
0.45318079103839 |
Real period |
R |
8.2965166880333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754j1 208d1 |
Quadratic twists by: -4 -23 |