Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200a |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-19683000000 = -1 · 26 · 39 · 56 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,675,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1:26:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.2611138661304 |
L(r)(E,1)/r! |
Ω |
0.7274971141077 |
Real period |
R |
2.9286122126799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7200a1 14400cr2 7200ba1 288e1 |
Quadratic twists by: -4 8 -3 5 |