Atkin-Lehner |
2+ 3+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310g |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
19620900 = 22 · 33 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-444,3708] |
[a1,a2,a3,a4,a6] |
Generators |
[9:15:1] |
Generators of the group modulo torsion |
j |
358970654043/726700 |
j-invariant |
L |
3.8442339327497 |
L(r)(E,1)/r! |
Ω |
2.1699089909929 |
Real period |
R |
0.44290266880705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310bm1 |
Quadratic twists by: -3 |