Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628a |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
109439952336 = 24 · 33 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17424,-885115] |
[a1,a2,a3,a4,a6] |
Generators |
[-605420:70817:8000] |
Generators of the group modulo torsion |
j |
764411904/143 |
j-invariant |
L |
7.426422970211 |
L(r)(E,1)/r! |
Ω |
0.41554442899811 |
Real period |
R |
8.9357749160011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999467 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56628b1 5148a1 |
Quadratic twists by: -3 -11 |