Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60164b |
Isogeny class |
Conductor |
60164 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
1429662211328 = 28 · 137 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 -3 0 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4957,-123057] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:109:1] [82:169:1] |
Generators of the group modulo torsion |
j |
10903552/1157 |
j-invariant |
L |
7.7015830706327 |
L(r)(E,1)/r! |
Ω |
0.5728746811581 |
Real period |
R |
3.3609370966911 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4628a1 |
Quadratic twists by: 13 |