Atkin-Lehner |
2- 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bu |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
418176 |
Modular degree for the optimal curve |
Δ |
-133968598272000 = -1 · 211 · 36 · 53 · 233 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19148,-1157169] |
[a1,a2,a3,a4,a6] |
Generators |
[173:741:1] |
Generators of the group modulo torsion |
j |
-1064989133917561/183770368000 |
j-invariant |
L |
11.146800839885 |
L(r)(E,1)/r! |
Ω |
0.20103307833212 |
Real period |
R |
0.84011508625067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570a1 |
Quadratic twists by: -3 |