Atkin-Lehner |
2- 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528h |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2830033575936 = -1 · 213 · 33 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3416,24304] |
[a1,a2,a3,a4,a6] |
Generators |
[9:236:1] [42:490:1] |
Generators of the group modulo torsion |
j |
1075945339223/690926166 |
j-invariant |
L |
6.1068077615908 |
L(r)(E,1)/r! |
Ω |
0.50196141516266 |
Real period |
R |
6.0829453989131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3066f2 98112bv2 73584u2 |
Quadratic twists by: -4 8 -3 |