Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
22720z |
Isogeny class |
Conductor |
22720 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-225528668875000000 = -1 · 26 · 59 · 715 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 -4 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-995015,382376863] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:44375:1] |
Generators of the group modulo torsion |
j |
-1702288080319928149504/3523885451171875 |
j-invariant |
L |
2.5738021637189 |
L(r)(E,1)/r! |
Ω |
0.31486908893904 |
Real period |
R |
0.18164883644476 |
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 |
22720p1 11360m1 113600bj1 |
Quadratic twists by: -4 8 5 |