Atkin-Lehner |
2- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008b |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-1112438472704 = -1 · 223 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 1 -1 -3 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9896,-385612] |
[a1,a2,a3,a4,a6] |
Generators |
[116:202:1] [878:25856:1] |
Generators of the group modulo torsion |
j |
-26168974809769/271591424 |
j-invariant |
L |
7.636545359193 |
L(r)(E,1)/r! |
Ω |
0.23918409845116 |
Real period |
R |
3.9909349161606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2626a1 84032v1 |
Quadratic twists by: -4 8 |