Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15050t |
Isogeny class |
Conductor |
15050 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-1480091648000000 = -1 · 217 · 56 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 5 -2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-564113,163042217] |
[a1,a2,a3,a4,a6] |
Generators |
[122:9739:1] |
Generators of the group modulo torsion |
j |
-1270580128269753673/94725865472 |
j-invariant |
L |
8.9397813915573 |
L(r)(E,1)/r! |
Ω |
0.45502225134871 |
Real period |
R |
0.11557006103818 |
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 |
120400bf1 602b1 105350ch1 |
Quadratic twists by: -4 5 -7 |