Atkin-Lehner |
2+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60016c |
Isogeny class |
Conductor |
60016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-878694256 = -1 · 24 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 2 1 -3 11- 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,1443] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:4719:64] |
Generators of the group modulo torsion |
j |
-256/31 |
j-invariant |
L |
9.323854877271 |
L(r)(E,1)/r! |
Ω |
1.2946274969967 |
Real period |
R |
3.6009797795482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30008g1 496b1 |
Quadratic twists by: -4 -11 |