Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960c |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
73073546585406720 = 28 · 36 · 5 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 3 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833161,955843125] |
[a1,a2,a3,a4,a6] |
j |
33983110144/3645 |
j-invariant |
L |
1.988350442502 |
L(r)(E,1)/r! |
Ω |
0.33139163972972 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63480q1 126960i1 |
Quadratic twists by: -4 -23 |