Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610ci |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-128737440 = -1 · 25 · 32 · 5 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,29,545] |
[a1,a2,a3,a4,a6] |
Generators |
[26:125:1] |
Generators of the group modulo torsion |
j |
15925559/761760 |
j-invariant |
L |
14.647439869347 |
L(r)(E,1)/r! |
Ω |
1.4060788209165 |
Real period |
R |
0.52086126559463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bh1 |
Quadratic twists by: 13 |