Atkin-Lehner |
2- 3- 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642ci |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1171936817565696 = -1 · 212 · 37 · 72 · 13 · 593 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3215039,2219651687] |
[a1,a2,a3,a4,a6] |
Generators |
[1107:-4586:1] [-1805:47158:1] |
Generators of the group modulo torsion |
j |
-5041442214881660840617/1607595085824 |
j-invariant |
L |
14.232487238075 |
L(r)(E,1)/r! |
Ω |
0.39237092604651 |
Real period |
R |
1.133532575129 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996086 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32214q2 |
Quadratic twists by: -3 |