Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800bq |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1514700800 = -1 · 215 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 1 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3340,74320] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:344:1] [34:8:1] |
Generators of the group modulo torsion |
j |
-5030060040/1849 |
j-invariant |
L |
5.4698397930859 |
L(r)(E,1)/r! |
Ω |
1.4808845367334 |
Real period |
R |
0.46170377039304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800w1 34400bc1 68800cb1 |
Quadratic twists by: -4 8 5 |