Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440bu |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28429639680 = 213 · 3 · 5 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2720,54912] |
[a1,a2,a3,a4,a6] |
Generators |
[42:114:1] |
Generators of the group modulo torsion |
j |
543538277281/6940830 |
j-invariant |
L |
6.7350650111705 |
L(r)(E,1)/r! |
Ω |
1.1854789876895 |
Real period |
R |
2.8406513724246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bl2 |
Quadratic twists by: -4 |