Atkin-Lehner |
2+ 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674c |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15510122836873938 = 2 · 310 · 7 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1257291,-542280245] |
[a1,a2,a3,a4,a6] |
j |
301511442480992147377/21275888665122 |
j-invariant |
L |
1.1405974928127 |
L(r)(E,1)/r! |
Ω |
0.14257468659848 |
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 |
12558k4 |
Quadratic twists by: -3 |