Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840k |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-306563512320 = -1 · 211 · 311 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443,33982] |
[a1,a2,a3,a4,a6] |
j |
-1316978/1215 |
j-invariant |
L |
1.7696832861071 |
L(r)(E,1)/r! |
Ω |
0.88484164658373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680r1 20280bd1 60840bu1 |
Quadratic twists by: -4 -3 13 |