Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015j |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-9005711715 = -1 · 32 · 5 · 72 · 11 · 135 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20021,1083740] |
[a1,a2,a3,a4,a6] |
Generators |
[82:10:1] |
Generators of the group modulo torsion |
j |
-887570176172621824/9005711715 |
j-invariant |
L |
4.512870622862 |
L(r)(E,1)/r! |
Ω |
1.1757339303907 |
Real period |
R |
0.95958586084231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45045bn1 75075d1 105105bb1 |
Quadratic twists by: -3 5 -7 |