Atkin-Lehner |
2- 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700t |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-7.563945723165E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11353908,14780917188] |
[a1,a2,a3,a4,a6] |
Generators |
[1563:-29250:1] [-3312:126750:1] |
Generators of the group modulo torsion |
j |
-40466893980348923344/189098643079125 |
j-invariant |
L |
12.845116349726 |
L(r)(E,1)/r! |
Ω |
0.16066119490637 |
Real period |
R |
0.12113875731584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17940a1 |
Quadratic twists by: 5 |