Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800l |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-419921875000000 = -1 · 26 · 516 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -3 5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16383,1279637] |
[a1,a2,a3,a4,a6] |
Generators |
[-1872476:4424775:12167] |
Generators of the group modulo torsion |
j |
-486329388544/419921875 |
j-invariant |
L |
9.8456638500867 |
L(r)(E,1)/r! |
Ω |
0.48577564067985 |
Real period |
R |
10.133962085318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bl1 34400i1 13760l1 |
Quadratic twists by: -4 8 5 |