Atkin-Lehner |
3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265m |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-518227875 = -1 · 36 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1098,-14047] |
[a1,a2,a3,a4,a6] |
Generators |
[39:49:1] |
Generators of the group modulo torsion |
j |
-200818262016/710875 |
j-invariant |
L |
2.9276634646626 |
L(r)(E,1)/r! |
Ω |
0.41459774787311 |
Real period |
R |
1.7653638253473 |
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 |
2585a1 116325o1 |
Quadratic twists by: -3 5 |