Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370dm |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
2.4071137145426E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5933411,-5037788799] |
[a1,a2,a3,a4,a6] |
Generators |
[-1550:21649:1] |
Generators of the group modulo torsion |
j |
196358078632927952161/20460128981483520 |
j-invariant |
L |
12.707989328679 |
L(r)(E,1)/r! |
Ω |
0.097384053284964 |
Real period |
R |
1.3593076501659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bb1 |
Quadratic twists by: -7 |