Atkin-Lehner |
2+ 5+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
123280b |
Isogeny class |
Conductor |
123280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
597504 |
Modular degree for the optimal curve |
Δ |
-101564462725120 = -1 · 211 · 5 · 236 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ 5 1 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43976,3597200] |
[a1,a2,a3,a4,a6] |
j |
-4592517367756178/49592022815 |
j-invariant |
L |
4.8007234429295 |
L(r)(E,1)/r! |
Ω |
0.60009036314911 |
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 |
61640b1 |
Quadratic twists by: -4 |