Atkin-Lehner |
2+ 3- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402j |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
6196103424 = 28 · 38 · 7 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6273,-189635] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:25:1] [123:881:1] |
Generators of the group modulo torsion |
j |
37450790494993/8499456 |
j-invariant |
L |
6.699135662483 |
L(r)(E,1)/r! |
Ω |
0.53645512938946 |
Real period |
R |
12.487783778121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134bb1 |
Quadratic twists by: -3 |