Atkin-Lehner |
2- 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992p |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-2.7822085819E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 2 1 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-889248,410582896] |
[a1,a2,a3,a4,a6] |
Generators |
[1601:55593:1] |
Generators of the group modulo torsion |
j |
-26043834513719296/9317560247811 |
j-invariant |
L |
6.1807685532612 |
L(r)(E,1)/r! |
Ω |
0.1982512206583 |
Real period |
R |
3.8970557992825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437c1 23664p1 |
Quadratic twists by: -4 -3 |