Atkin-Lehner |
2- 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270bl |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1056000 |
Modular degree for the optimal curve |
Δ |
-3770297102812500000 = -1 · 25 · 311 · 510 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13+ -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1967963,1067199531] |
[a1,a2,a3,a4,a6] |
Generators |
[1775:55362:1] |
Generators of the group modulo torsion |
j |
-1156236736071396407401/5171875312500000 |
j-invariant |
L |
7.0911248575465 |
L(r)(E,1)/r! |
Ω |
0.24988310318964 |
Real period |
R |
1.4188884256339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090f1 |
Quadratic twists by: -3 |