Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23120x |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
-228581619826688000 = -1 · 218 · 53 · 178 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185056,-38252800] |
[a1,a2,a3,a4,a6] |
Generators |
[16666:2150738:1] |
Generators of the group modulo torsion |
j |
-24529249/8000 |
j-invariant |
L |
3.5769137156873 |
L(r)(E,1)/r! |
Ω |
0.11321359568389 |
Real period |
R |
5.2657305189074 |
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 |
2890n1 92480ei1 115600ch1 23120bd1 |
Quadratic twists by: -4 8 5 17 |