Atkin-Lehner |
2+ 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176g |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
60416 |
Modular degree for the optimal curve |
Δ |
-2063181568 = -1 · 28 · 7 · 292 · 372 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1428,-20416] |
[a1,a2,a3,a4,a6] |
j |
-1258845586000/8059303 |
j-invariant |
L |
3.1051740270067 |
L(r)(E,1)/r! |
Ω |
0.38814680291272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60088e1 |
Quadratic twists by: -4 |