Atkin-Lehner |
2- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50320p |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
27374080000 = 212 · 54 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 1 5- 3 3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-805,3475] |
[a1,a2,a3,a4,a6] |
Generators |
[30:85:1] |
Generators of the group modulo torsion |
j |
14102327296/6683125 |
j-invariant |
L |
8.8304745345155 |
L(r)(E,1)/r! |
Ω |
1.0573826623601 |
Real period |
R |
1.0439071455485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3145a1 |
Quadratic twists by: -4 |