Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120q |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-11668113192960 = -1 · 211 · 37 · 5 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242787,46045694] |
[a1,a2,a3,a4,a6] |
j |
-1060089463210178/7815255 |
j-invariant |
L |
2.5639387318729 |
L(r)(E,1)/r! |
Ω |
0.64098468149526 |
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 |
26040j1 |
Quadratic twists by: -3 |