Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150ca |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29440 |
Modular degree for the optimal curve |
Δ |
455746500 = 22 · 35 · 53 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-748,-8119] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1647:1] |
Generators of the group modulo torsion |
j |
370300910741/3645972 |
j-invariant |
L |
7.1819000017875 |
L(r)(E,1)/r! |
Ω |
0.91343849158142 |
Real period |
R |
3.9312444504973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150bf1 |
Quadratic twists by: 5 |