Atkin-Lehner |
3+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107b |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-321544695718827 = -1 · 39 · 72 · 192 · 314 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 6 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3215,-864782] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3701:1] |
Generators of the group modulo torsion |
j |
-186658900875/16336162969 |
j-invariant |
L |
3.2963101795172 |
L(r)(E,1)/r! |
Ω |
0.23985557754098 |
Real period |
R |
1.7178619595339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37107a2 |
Quadratic twists by: -3 |