Atkin-Lehner |
2+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20384a |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-127848448 = -1 · 212 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ 5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-559] |
[a1,a2,a3,a4,a6] |
j |
-3136/13 |
j-invariant |
L |
3.0595548553984 |
L(r)(E,1)/r! |
Ω |
0.76488871384961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20384b1 40768cc1 20384m1 |
Quadratic twists by: -4 8 -7 |