Atkin-Lehner |
2+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
108560c |
Isogeny class |
Conductor |
108560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23168 |
Modular degree for the optimal curve |
Δ |
-159800320 = -1 · 210 · 5 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37,602] |
[a1,a2,a3,a4,a6] |
j |
5470524/156055 |
j-invariant |
L |
2.7378352201883 |
L(r)(E,1)/r! |
Ω |
1.3689175003768 |
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 |
54280a1 |
Quadratic twists by: -4 |