Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bf |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
58551896183040 = 28 · 36 · 5 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30927,-2060786] |
[a1,a2,a3,a4,a6] |
Generators |
[8395530:-290511338:6859] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
7.5780202368618 |
L(r)(E,1)/r! |
Ω |
0.36040172519491 |
Real period |
R |
10.513296454144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998386694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60840bq1 13520e1 9360k1 |
Quadratic twists by: -4 -3 13 |