Atkin-Lehner |
2+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18056a |
Isogeny class |
Conductor |
18056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
35245312 = 28 · 37 · 612 |
Discriminant |
Eigenvalues |
2+ -1 0 -5 -1 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8913,326869] |
[a1,a2,a3,a4,a6] |
Generators |
[45:122:1] |
Generators of the group modulo torsion |
j |
305917408384000/137677 |
j-invariant |
L |
2.3034765239434 |
L(r)(E,1)/r! |
Ω |
1.6830058863155 |
Real period |
R |
0.17108351660212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36112b1 |
Quadratic twists by: -4 |