Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
29988bm |
Isogeny class |
Conductor |
29988 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13486118913792 = 28 · 312 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97671,-11747554] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:34:1] |
Generators of the group modulo torsion |
j |
1609752103216/210681 |
j-invariant |
L |
4.464949444621 |
L(r)(E,1)/r! |
Ω |
0.27006080431556 |
Real period |
R |
1.3777605429565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952gr2 9996d2 29988bg2 |
Quadratic twists by: -4 -3 -7 |