Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270n |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
309853476562500 = 22 · 39 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20790,788800] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:1430:1] |
Generators of the group modulo torsion |
j |
1363237116927841/425039062500 |
j-invariant |
L |
4.2121487705958 |
L(r)(E,1)/r! |
Ω |
0.50390748132358 |
Real period |
R |
4.1794862417317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090u1 |
Quadratic twists by: -3 |