Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650ct |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
6144 |
Product of Tamagawa factors cp |
deg |
60162048 |
Modular degree for the optimal curve |
Δ |
4.8512230237096E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-587201813,5466518635617] |
[a1,a2,a3,a4,a6] |
Generators |
[45586:8546359:1] |
Generators of the group modulo torsion |
j |
1433064868967223005772725641/3104782735174115328000 |
j-invariant |
L |
10.651119236742 |
L(r)(E,1)/r! |
Ω |
0.063662332124546 |
Real period |
R |
0.43569389866484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991257 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530l1 |
Quadratic twists by: 5 |