Atkin-Lehner |
3- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37107j |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
374683442553 = 314 · 7 · 192 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14931,-697896] |
[a1,a2,a3,a4,a6] |
Generators |
[154504:3063068:343] |
Generators of the group modulo torsion |
j |
504985875929137/513969057 |
j-invariant |
L |
7.4936625117195 |
L(r)(E,1)/r! |
Ω |
0.4319191956495 |
Real period |
R |
8.6748431039879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369g1 |
Quadratic twists by: -3 |