Atkin-Lehner |
2- 3- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
23010o |
Isogeny class |
Conductor |
23010 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-39587324400 = -1 · 24 · 37 · 52 · 13 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,199,-9495] |
[a1,a2,a3,a4,a6] |
Generators |
[28:121:1] |
Generators of the group modulo torsion |
j |
871257511151/39587324400 |
j-invariant |
L |
8.717986319138 |
L(r)(E,1)/r! |
Ω |
0.55101280513313 |
Real period |
R |
0.56506246561675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030u1 115050g1 |
Quadratic twists by: -3 5 |