Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7208b |
Isogeny class |
Conductor |
7208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-77058479104 = -1 · 210 · 175 · 53 |
Discriminant |
Eigenvalues |
2- 2 3 -1 0 -7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,256,-13348] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:40212:1] |
Generators of the group modulo torsion |
j |
1804870652/75252421 |
j-invariant |
L |
6.3050943572807 |
L(r)(E,1)/r! |
Ω |
0.52192863714151 |
Real period |
R |
6.0401881680725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14416b1 57664e1 64872e1 122536b1 |
Quadratic twists by: -4 8 -3 17 |