Atkin-Lehner |
3- 5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
60255a |
Isogeny class |
Conductor |
60255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-190345545 = -1 · 37 · 5 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 2 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,112,452] |
[a1,a2,a3,a4,a6] |
Generators |
[12:52:1] |
Generators of the group modulo torsion |
j |
214921799/261105 |
j-invariant |
L |
3.4367559816312 |
L(r)(E,1)/r! |
Ω |
1.2002365018605 |
Real period |
R |
0.35792487317172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20085e1 |
Quadratic twists by: -3 |