Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384w |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
62352087616 = 26 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2989,-61740] |
[a1,a2,a3,a4,a6] |
Generators |
[537705:35263536:125] |
Generators of the group modulo torsion |
j |
392223168/8281 |
j-invariant |
L |
6.0128291606895 |
L(r)(E,1)/r! |
Ω |
0.64651072654736 |
Real period |
R |
9.3004321719463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20384c1 40768bg2 2912e1 |
Quadratic twists by: -4 8 -7 |