Atkin-Lehner |
2+ 3- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310bh |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-255484946340000 = -1 · 25 · 312 · 54 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,14526,-374220] |
[a1,a2,a3,a4,a6] |
Generators |
[45:585:1] |
Generators of the group modulo torsion |
j |
464962026758111/350459460000 |
j-invariant |
L |
5.4524542474826 |
L(r)(E,1)/r! |
Ω |
0.30933071875519 |
Real period |
R |
2.2033271822391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bd2 |
Quadratic twists by: -3 |