Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930bl |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
41064998768640 = 212 · 312 · 5 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2578802,-1593306511] |
[a1,a2,a3,a4,a6] |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
4.2889162871056 |
L(r)(E,1)/r! |
Ω |
0.11913656353071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440dx1 2310g1 34650s1 48510dk1 |
Quadratic twists by: -4 -3 5 -7 |