Atkin-Lehner |
3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37107g |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-19720181187 = -1 · 314 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
2 3- 0 7+ 4 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-705,9877] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1011:8] |
Generators of the group modulo torsion |
j |
-53157376000/27051003 |
j-invariant |
L |
11.643668292503 |
L(r)(E,1)/r! |
Ω |
1.1343407410967 |
Real period |
R |
5.1323503911382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12369c1 |
Quadratic twists by: -3 |