Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170j |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
561290000 = 24 · 54 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1136,-15167] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1593:1] |
Generators of the group modulo torsion |
j |
162137174277889/561290000 |
j-invariant |
L |
9.1055748930885 |
L(r)(E,1)/r! |
Ω |
0.82251416519892 |
Real period |
R |
2.7676042791574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360n1 75850d1 |
Quadratic twists by: -4 5 |