Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200br |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
87162880000000000 = 226 · 510 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -1 3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-215208,35633588] |
[a1,a2,a3,a4,a6] |
Generators |
[-10086:216064:27] |
Generators of the group modulo torsion |
j |
27557573425/2179072 |
j-invariant |
L |
6.5726137878696 |
L(r)(E,1)/r! |
Ω |
0.33267732536385 |
Real period |
R |
4.9391807667816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650e1 53200dz1 |
Quadratic twists by: -4 5 |