Atkin-Lehner |
2- 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24420i |
Isogeny class |
Conductor |
24420 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
438790770000 = 24 · 34 · 54 · 114 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7345,242650] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2475:8] [-75:605:1] |
Generators of the group modulo torsion |
j |
2739291541159936/27424423125 |
j-invariant |
L |
6.6310026374065 |
L(r)(E,1)/r! |
Ω |
0.9447975886613 |
Real period |
R |
0.29243488750867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97680cx1 73260m1 122100bb1 |
Quadratic twists by: -4 -3 5 |