Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24200a |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3327500000000000 = -1 · 211 · 513 · 113 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11+ -4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5592,2768812] |
[a1,a2,a3,a4,a6] |
Generators |
[1946:34375:8] |
Generators of the group modulo torsion |
j |
453962/78125 |
j-invariant |
L |
4.5258831384343 |
L(r)(E,1)/r! |
Ω |
0.34455507774659 |
Real period |
R |
1.6419302133181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48400b1 4840d1 24200s1 |
Quadratic twists by: -4 5 -11 |