Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600bh |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-490106700000000 = -1 · 28 · 310 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 1 0 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19292,272588] |
[a1,a2,a3,a4,a6] |
Generators |
[158:-2700:1] |
Generators of the group modulo torsion |
j |
7940227760/4901067 |
j-invariant |
L |
7.5760082229894 |
L(r)(E,1)/r! |
Ω |
0.32369928387495 |
Real period |
R |
0.39007439828464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800j1 99600f1 |
Quadratic twists by: -4 5 |