Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3757c |
Isogeny class |
Conductor |
3757 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
20041351127993 = 132 · 179 |
Discriminant |
Eigenvalues |
-1 2 2 0 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21392,1175944] |
[a1,a2,a3,a4,a6] |
Generators |
[2028:-943:27] |
Generators of the group modulo torsion |
j |
9129329/169 |
j-invariant |
L |
3.4879978019311 |
L(r)(E,1)/r! |
Ω |
0.6845420262373 |
Real period |
R |
5.0953742330525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60112v1 33813g1 93925h1 48841c1 |
Quadratic twists by: -4 -3 5 13 |