Atkin-Lehner |
2- 3- 5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116130cv |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
333312 |
Modular degree for the optimal curve |
Δ |
-368889615990 = -1 · 2 · 34 · 5 · 78 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41896,-3304330] |
[a1,a2,a3,a4,a6] |
Generators |
[80572859990:739331568935:284890312] |
Generators of the group modulo torsion |
j |
-1410774894529/63990 |
j-invariant |
L |
12.11235473519 |
L(r)(E,1)/r! |
Ω |
0.16684960502591 |
Real period |
R |
18.14861163937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116130cn1 |
Quadratic twists by: -7 |