Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800f |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-179243633868800 = -1 · 221 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -1 4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23553,1525343] |
[a1,a2,a3,a4,a6] |
Generators |
[3455:118336:125] |
Generators of the group modulo torsion |
j |
-220496102185/27350408 |
j-invariant |
L |
8.0513201963224 |
L(r)(E,1)/r! |
Ω |
0.55311985909306 |
Real period |
R |
1.819524300025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800di1 2150m1 68800ch1 |
Quadratic twists by: -4 8 5 |