Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20976h |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-386629632 = -1 · 215 · 33 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 3 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,1332] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:48:1] |
Generators of the group modulo torsion |
j |
-192100033/94392 |
j-invariant |
L |
6.4492738197724 |
L(r)(E,1)/r! |
Ω |
1.5759513054432 |
Real period |
R |
0.34102543849214 |
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 |
2622c1 83904bj1 62928bd1 |
Quadratic twists by: -4 8 -3 |