Atkin-Lehner |
2+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
28280b |
Isogeny class |
Conductor |
28280 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-329317716005600000 = -1 · 28 · 55 · 79 · 1012 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 5 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-336105,79808603] |
[a1,a2,a3,a4,a6] |
Generators |
[91:7070:1] |
Generators of the group modulo torsion |
j |
-16402496682689575936/1286397328146875 |
j-invariant |
L |
7.7855323302037 |
L(r)(E,1)/r! |
Ω |
0.2987346754257 |
Real period |
R |
0.072393600321732 |
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 |
56560d1 |
Quadratic twists by: -4 |