Atkin-Lehner |
3- 11- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
86229k |
Isogeny class |
Conductor |
86229 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
102260781909 = 36 · 115 · 13 · 67 |
Discriminant |
Eigenvalues |
0 3- -3 0 11- 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1314,-9970] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:49:1] [-8:5:1] |
Generators of the group modulo torsion |
j |
344177344512/140275421 |
j-invariant |
L |
7.8841822908995 |
L(r)(E,1)/r! |
Ω |
0.82172204015432 |
Real period |
R |
0.95947070973981 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9581b1 |
Quadratic twists by: -3 |