Atkin-Lehner |
3+ 5- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36465k |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
1203345 = 32 · 5 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25070,1517402] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:1324:1] [390:4949:8] |
Generators of the group modulo torsion |
j |
1742560224722534881/1203345 |
j-invariant |
L |
4.7831143501747 |
L(r)(E,1)/r! |
Ω |
1.6908643320167 |
Real period |
R |
11.315193678418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109395r1 |
Quadratic twists by: -3 |