Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058x |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-1.0222979603641E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -2 -6 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10322872,13656980729] |
[a1,a2,a3,a4,a6] |
Generators |
[959:67641:1] |
Generators of the group modulo torsion |
j |
-204520739414888233/17186581700352 |
j-invariant |
L |
10.225509775136 |
L(r)(E,1)/r! |
Ω |
0.12598845690871 |
Real period |
R |
1.6908807335425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999630566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002f1 |
Quadratic twists by: 29 |