Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100f |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-397517868000000 = -1 · 28 · 312 · 56 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2333,-959463] |
[a1,a2,a3,a4,a6] |
Generators |
[744736:7198875:4913] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
5.8766243276394 |
L(r)(E,1)/r! |
Ω |
0.23853730806776 |
Real period |
R |
6.1590201290027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2244b1 |
Quadratic twists by: 5 |