Atkin-Lehner |
3+ 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585c |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
72752281875 = 32 · 54 · 7 · 133 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81976,8999798] |
[a1,a2,a3,a4,a6] |
Generators |
[-304:2589:1] [-31:3408:1] |
Generators of the group modulo torsion |
j |
60923411290237362049/72752281875 |
j-invariant |
L |
4.3196924704585 |
L(r)(E,1)/r! |
Ω |
0.92261717405699 |
Real period |
R |
0.78033312767257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755n2 |
Quadratic twists by: -3 |