Atkin-Lehner |
2- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73892f |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
5460027664 = 24 · 74 · 132 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -3 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1682,26881] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:169:1] [-9:203:1] |
Generators of the group modulo torsion |
j |
13707167488/142129 |
j-invariant |
L |
6.9474350686378 |
L(r)(E,1)/r! |
Ω |
1.3615590996846 |
Real period |
R |
0.14173773838029 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73892j1 |
Quadratic twists by: -7 |