Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080v |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-83530825830400000 = -1 · 215 · 55 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5+ 5 1 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-389601,94498015] |
[a1,a2,a3,a4,a6] |
Generators |
[394:1521:1] |
Generators of the group modulo torsion |
j |
-244674248/3125 |
j-invariant |
L |
4.5748300807565 |
L(r)(E,1)/r! |
Ω |
0.34273147752378 |
Real period |
R |
2.2246911360968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080q1 27040t1 54080br1 |
Quadratic twists by: -4 8 13 |