Atkin-Lehner |
2- 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040be |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-190368088064000 = -1 · 218 · 53 · 7 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1655136,-819042560] |
[a1,a2,a3,a4,a6] |
Generators |
[1491663658:255725820394:50653] |
Generators of the group modulo torsion |
j |
-122423581669793912929/46476584000 |
j-invariant |
L |
4.1648357863248 |
L(r)(E,1)/r! |
Ω |
0.066551999194417 |
Real period |
R |
15.645043911749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630p1 |
Quadratic twists by: -4 |