Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304n |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
890071630880768 = 213 · 76 · 314 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24059,-52822] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1176:1] |
Generators of the group modulo torsion |
j |
3196010817/1847042 |
j-invariant |
L |
5.8823567849272 |
L(r)(E,1)/r! |
Ω |
0.41906457939753 |
Real period |
R |
1.7546092756706 |
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 |
3038i4 97216bn3 496f4 |
Quadratic twists by: -4 8 -7 |