Atkin-Lehner |
11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120263a |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
191400 |
Modular degree for the optimal curve |
Δ |
3434831543 = 11 · 135 · 292 |
Discriminant |
Eigenvalues |
1 2 0 4 11+ 13+ -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14575,671226] |
[a1,a2,a3,a4,a6] |
Generators |
[-37590:7933234:9261] |
Generators of the group modulo torsion |
j |
407192681640625/4084223 |
j-invariant |
L |
13.569591107337 |
L(r)(E,1)/r! |
Ω |
1.273644819057 |
Real period |
R |
10.654140758107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999478763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120263f1 |
Quadratic twists by: 29 |