Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420b |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2623880160000 = 28 · 32 · 54 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64196,-6238680] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:22:1] |
Generators of the group modulo torsion |
j |
114291627501319504/10249531875 |
j-invariant |
L |
4.8101401222576 |
L(r)(E,1)/r! |
Ω |
0.29993305823521 |
Real period |
R |
0.89096549864978 |
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 |
97680cb2 73260t2 122100y2 |
Quadratic twists by: -4 -3 5 |