Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800bo |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
2921811200 = 28 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1253,-17297] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:14:1] |
Generators of the group modulo torsion |
j |
34020720640/456533 |
j-invariant |
L |
3.4226360731989 |
L(r)(E,1)/r! |
Ω |
0.80303706421834 |
Real period |
R |
0.7103524494083 |
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 |
7700e1 123200gj1 30800cf1 |
Quadratic twists by: -4 8 5 |