Atkin-Lehner |
2- 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45560d |
Isogeny class |
Conductor |
45560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
148480 |
Modular degree for the optimal curve |
Δ |
-15220867040000 = -1 · 28 · 54 · 175 · 67 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 -3 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4468,-220108] |
[a1,a2,a3,a4,a6] |
Generators |
[2261628:17422750:19683] |
Generators of the group modulo torsion |
j |
-38532149812224/59456511875 |
j-invariant |
L |
10.371828261554 |
L(r)(E,1)/r! |
Ω |
0.27690525250734 |
Real period |
R |
9.3640587959284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91120a1 |
Quadratic twists by: -4 |