Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58300h |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-123596000000 = -1 · 28 · 56 · 11 · 532 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 11- -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,14500] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:106:1] |
Generators of the group modulo torsion |
j |
14155776/30899 |
j-invariant |
L |
3.2884751393166 |
L(r)(E,1)/r! |
Ω |
0.72543215322086 |
Real period |
R |
0.75552095049139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332b1 |
Quadratic twists by: 5 |