Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bh |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1040710449218750000 = -1 · 24 · 518 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12480,49088147] |
[a1,a2,a3,a4,a6] |
Generators |
[325:8741:1] |
Generators of the group modulo torsion |
j |
-13756717452681/66605468750000 |
j-invariant |
L |
10.325890438327 |
L(r)(E,1)/r! |
Ω |
0.22193670988315 |
Real period |
R |
5.8157855249206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10030c2 |
Quadratic twists by: 5 |