Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800p |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440768 |
Modular degree for the optimal curve |
Δ |
-6795465277675000000 = -1 · 26 · 58 · 437 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -3 1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-802383,-304014137] |
[a1,a2,a3,a4,a6] |
Generators |
[70233841598868883482:212917183981583354125:66942703664637319] |
Generators of the group modulo torsion |
j |
-57130682153065984/6795465277675 |
j-invariant |
L |
5.004538083441 |
L(r)(E,1)/r! |
Ω |
0.079229091601886 |
Real period |
R |
31.582705179734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bg1 34400be1 13760k1 |
Quadratic twists by: -4 8 5 |