Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650s |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
7840 |
Modular degree for the optimal curve |
Δ |
506000000 = 27 · 56 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -3 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1188,-16219] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:13:1] |
Generators of the group modulo torsion |
j |
11867954041/32384 |
j-invariant |
L |
9.5904864620701 |
L(r)(E,1)/r! |
Ω |
0.8133262082677 |
Real period |
R |
1.6845264306674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101200bq1 113850br1 506a1 |
Quadratic twists by: -4 -3 5 |