Atkin-Lehner |
2- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
50320o |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
68435200 = 28 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 1 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-448,3628] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:85:1] [6:34:1] |
Generators of the group modulo torsion |
j |
38843449344/267325 |
j-invariant |
L |
5.6871963754034 |
L(r)(E,1)/r! |
Ω |
1.9631317762532 |
Real period |
R |
0.36212523047318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12580b1 |
Quadratic twists by: -4 |