Atkin-Lehner |
3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
24225k |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-8827211484375 = -1 · 3 · 57 · 172 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-751,-143227] |
[a1,a2,a3,a4,a6] |
Generators |
[9006:297593:8] |
Generators of the group modulo torsion |
j |
-2992209121/564941535 |
j-invariant |
L |
6.0375394065305 |
L(r)(E,1)/r! |
Ω |
0.32641088324014 |
Real period |
R |
4.6241866590036 |
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 |
72675bh1 4845d1 |
Quadratic twists by: -3 5 |