Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29988k |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10077862281984 = -1 · 28 · 39 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -3 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201096,34710228] |
[a1,a2,a3,a4,a6] |
Generators |
[16548:1323:64] |
Generators of the group modulo torsion |
j |
-1517101056/17 |
j-invariant |
L |
6.9810177249911 |
L(r)(E,1)/r! |
Ω |
0.6568745675786 |
Real period |
R |
2.6569066871948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952cs2 29988q1 612b2 |
Quadratic twists by: -4 -3 -7 |