Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650y |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
8174924800 = 210 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7553,249471] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:520:1] |
Generators of the group modulo torsion |
j |
1906100306841145/326996992 |
j-invariant |
L |
4.9305824578598 |
L(r)(E,1)/r! |
Ω |
1.2697334535356 |
Real period |
R |
1.9415816934374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
53200bt1 59850ca1 6650i2 46550cj1 |
Quadratic twists by: -4 -3 5 -7 |