Atkin-Lehner |
3+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107a |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-441076400163 = -1 · 33 · 72 · 192 · 314 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ -6 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357,32148] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:192:1] |
Generators of the group modulo torsion |
j |
-186658900875/16336162969 |
j-invariant |
L |
5.1679466419053 |
L(r)(E,1)/r! |
Ω |
0.77382354393926 |
Real period |
R |
0.83480702454418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37107b2 |
Quadratic twists by: -3 |