Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600bg |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-119520000 = -1 · 28 · 32 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-508,-4612] |
[a1,a2,a3,a4,a6] |
Generators |
[38:180:1] |
Generators of the group modulo torsion |
j |
-90792400/747 |
j-invariant |
L |
9.7901416770628 |
L(r)(E,1)/r! |
Ω |
0.50248040288843 |
Real period |
R |
1.6236357376554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800bb1 99600e1 |
Quadratic twists by: -4 5 |