Atkin-Lehner |
3- 5- 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
54855f |
Isogeny class |
Conductor |
54855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-11845508997015 = -1 · 313 · 5 · 232 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1607,-167034] |
[a1,a2,a3,a4,a6] |
j |
-629202484009/16248983535 |
j-invariant |
L |
0.61962746120775 |
L(r)(E,1)/r! |
Ω |
0.30981373040032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18285a1 |
Quadratic twists by: -3 |