Atkin-Lehner |
3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107f |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15311652177087 = 38 · 7 · 192 · 314 |
Discriminant |
Eigenvalues |
-1 3- -4 7+ -6 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10607,378600] |
[a1,a2,a3,a4,a6] |
Generators |
[92:372:1] |
Generators of the group modulo torsion |
j |
181023728068009/21003638103 |
j-invariant |
L |
1.9627199672676 |
L(r)(E,1)/r! |
Ω |
0.67655398340596 |
Real period |
R |
0.36263181050742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369b2 |
Quadratic twists by: -3 |