Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800r |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2495625000000 = -1 · 26 · 3 · 510 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,165162] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:548:1] |
Generators of the group modulo torsion |
j |
-25000000/3993 |
j-invariant |
L |
3.6713928969265 |
L(r)(E,1)/r! |
Ω |
0.78471584250348 |
Real period |
R |
4.6786272152514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800dd1 26400cc1 52800dr1 |
Quadratic twists by: -4 8 5 |