Atkin-Lehner |
3+ 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585a |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13889263567725 = 34 · 52 · 72 · 136 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10926,396798] |
[a1,a2,a3,a4,a6] |
Generators |
[22:398:1] [-41:902:1] |
Generators of the group modulo torsion |
j |
144247994879290849/13889263567725 |
j-invariant |
L |
4.6369093411153 |
L(r)(E,1)/r! |
Ω |
0.68585337211685 |
Real period |
R |
0.56339901131771 |
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 |
118755l2 |
Quadratic twists by: -3 |