Atkin-Lehner |
2- 3+ 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13542g |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-249356537856 = -1 · 212 · 36 · 372 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -3 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1463,11255] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:30:1] [7:144:1] |
Generators of the group modulo torsion |
j |
346288554179567/249356537856 |
j-invariant |
L |
6.699589084028 |
L(r)(E,1)/r! |
Ω |
0.62662128412017 |
Real period |
R |
0.22274183166297 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108336x1 40626e1 |
Quadratic twists by: -4 -3 |