Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930d |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
333430020 = 22 · 39 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2364,44828] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:310:1] |
Generators of the group modulo torsion |
j |
74246873427/16940 |
j-invariant |
L |
3.082235032794 |
L(r)(E,1)/r! |
Ω |
1.6664777153873 |
Real period |
R |
0.92477535232975 |
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 |
55440cn1 6930r1 34650cq1 48510f1 |
Quadratic twists by: -4 -3 5 -7 |