Atkin-Lehner |
3+ 5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585h |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11186290513125 = 32 · 54 · 74 · 134 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5705,37802] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:421:1] [-50:473:1] |
Generators of the group modulo torsion |
j |
20535033524962321/11186290513125 |
j-invariant |
L |
5.3238190335197 |
L(r)(E,1)/r! |
Ω |
0.62563995119757 |
Real period |
R |
0.53183734344017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755b3 |
Quadratic twists by: -3 |