Atkin-Lehner |
2- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39520h |
Isogeny class |
Conductor |
39520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-28533440 = -1 · 26 · 5 · 13 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,-260] |
[a1,a2,a3,a4,a6] |
Generators |
[12:38:1] [26:130:1] |
Generators of the group modulo torsion |
j |
1560896/445835 |
j-invariant |
L |
7.5634696235715 |
L(r)(E,1)/r! |
Ω |
0.98682064230614 |
Real period |
R |
1.2774137635075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39520c1 79040i1 |
Quadratic twists by: -4 8 |