Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20150m |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-399776000000 = -1 · 211 · 56 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 2 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1287,-24583] |
[a1,a2,a3,a4,a6] |
Generators |
[58:467:1] |
Generators of the group modulo torsion |
j |
15087533111/25585664 |
j-invariant |
L |
8.7314570754751 |
L(r)(E,1)/r! |
Ω |
0.49839877279177 |
Real period |
R |
0.79631900034275 |
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 |
806b1 |
Quadratic twists by: 5 |