Atkin-Lehner |
2+ 3+ 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270g |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
282906000 = 24 · 33 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-294,-1692] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:14:1] |
Generators of the group modulo torsion |
j |
104287581243/10478000 |
j-invariant |
L |
4.8134735563294 |
L(r)(E,1)/r! |
Ω |
1.1602352637691 |
Real period |
R |
0.69145079258797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36270be1 |
Quadratic twists by: -3 |