Atkin-Lehner |
2+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18056b |
Isogeny class |
Conductor |
18056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-85513216 = -1 · 210 · 372 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -3 1 5 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88,284] |
[a1,a2,a3,a4,a6] |
Generators |
[58:444:1] |
Generators of the group modulo torsion |
j |
72765788/83509 |
j-invariant |
L |
6.6456550475243 |
L(r)(E,1)/r! |
Ω |
1.2774422756348 |
Real period |
R |
1.3005783459417 |
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 |
36112c1 |
Quadratic twists by: -4 |