Atkin-Lehner |
2+ 3- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944g |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-14554970208589824 = -1 · 211 · 38 · 133 · 793 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -1 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40323,6588254] |
[a1,a2,a3,a4,a6] |
j |
-4856515050242/9748860147 |
j-invariant |
L |
1.4069365687448 |
L(r)(E,1)/r! |
Ω |
0.35173414204516 |
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 |
24648k1 |
Quadratic twists by: -3 |