Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040z |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
-16496833600 = -1 · 26 · 52 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200,-6150] |
[a1,a2,a3,a4,a6] |
Generators |
[621615:2972550:24389] |
Generators of the group modulo torsion |
j |
13754995136/257763025 |
j-invariant |
L |
9.7604390238649 |
L(r)(E,1)/r! |
Ω |
0.60172375557911 |
Real period |
R |
8.110398611463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79040x1 39520f2 |
Quadratic twists by: -4 8 |