Atkin-Lehner |
2- 3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600cb |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-196042680000000000 = -1 · 212 · 310 · 510 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-840208,297478912] |
[a1,a2,a3,a4,a6] |
Generators |
[418:4374:1] |
Generators of the group modulo torsion |
j |
-1639927598425/4901067 |
j-invariant |
L |
6.4883018863909 |
L(r)(E,1)/r! |
Ω |
0.31925103599117 |
Real period |
R |
2.5404388584978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6225f1 99600di1 |
Quadratic twists by: -4 5 |