Atkin-Lehner |
2+ 3+ 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21318b |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-4073031874692 = -1 · 22 · 38 · 113 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3876,29988] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:84:1] |
Generators of the group modulo torsion |
j |
6437243419194167/4073031874692 |
j-invariant |
L |
3.1385112582848 |
L(r)(E,1)/r! |
Ω |
0.4854112474204 |
Real period |
R |
1.6164186939238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63954bg1 |
Quadratic twists by: -3 |