Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104076g |
Isogeny class |
Conductor |
104076 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-35704779236784 = -1 · 24 · 38 · 78 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -6 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,-304927] |
[a1,a2,a3,a4,a6] |
j |
-114688/531 |
j-invariant |
L |
3.2407999345468 |
L(r)(E,1)/r! |
Ω |
0.27006663641557 |
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 |
34692c1 104076o1 |
Quadratic twists by: -3 -7 |