Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24360b |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
60900000000 = 28 · 3 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1036,5236] |
[a1,a2,a3,a4,a6] |
Generators |
[30:16:1] |
Generators of the group modulo torsion |
j |
480819584464/237890625 |
j-invariant |
L |
2.9426408419836 |
L(r)(E,1)/r! |
Ω |
0.98341483840458 |
Real period |
R |
2.9922680918233 |
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 |
48720r1 73080bp1 121800bs1 |
Quadratic twists by: -4 -3 5 |