Atkin-Lehner |
2+ 3+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670j |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
814080 |
Modular degree for the optimal curve |
Δ |
1.1229214491422E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2305927,-1248580619] |
[a1,a2,a3,a4,a6] |
Generators |
[-1035:6056:1] |
Generators of the group modulo torsion |
j |
1356003060815135596352761/112292144914223888640 |
j-invariant |
L |
3.1790930846877 |
L(r)(E,1)/r! |
Ω |
0.12315979660264 |
Real period |
R |
4.3021250608056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62010bl1 103350by1 |
Quadratic twists by: -3 5 |