Atkin-Lehner |
2- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89300l |
Isogeny class |
Conductor |
89300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-197263700000000 = -1 · 28 · 58 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 1 5- -4 -3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12708,-876412] |
[a1,a2,a3,a4,a6] |
Generators |
[20008:2830150:1] |
Generators of the group modulo torsion |
j |
-2269810000/1972637 |
j-invariant |
L |
4.4495994471633 |
L(r)(E,1)/r! |
Ω |
0.21692687417266 |
Real period |
R |
6.8373262737094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964042 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89300f1 |
Quadratic twists by: 5 |