Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bk |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
2334720 |
Modular degree for the optimal curve |
Δ |
-1.1320225620809E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -6 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1389989,812691037] |
[a1,a2,a3,a4,a6] |
Generators |
[1087:23648:1] |
Generators of the group modulo torsion |
j |
-43991836929973197/16767552323584 |
j-invariant |
L |
5.906280493037 |
L(r)(E,1)/r! |
Ω |
0.17601767531786 |
Real period |
R |
0.22075685544952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802c1 53802br1 |
Quadratic twists by: -3 -7 |