Atkin-Lehner |
2- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20150o |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
-6246500000 = -1 · 25 · 56 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63,3781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:62:1] |
Generators of the group modulo torsion |
j |
-1771561/399776 |
j-invariant |
L |
7.2483960053199 |
L(r)(E,1)/r! |
Ω |
1.0929413419391 |
Real period |
R |
0.66320082580645 |
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 |
806a1 |
Quadratic twists by: 5 |