Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400ee |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
7435800000000 = 29 · 37 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64875,6358750] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-450:1] [50:1800:1] |
Generators of the group modulo torsion |
j |
207108680/51 |
j-invariant |
L |
10.426864412232 |
L(r)(E,1)/r! |
Ω |
0.72448355947018 |
Real period |
R |
0.59967224659859 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122400br1 40800be1 122400bm1 |
Quadratic twists by: -4 -3 5 |