Atkin-Lehner |
3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
75645c |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
1907388675 = 33 · 52 · 414 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -3 1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315,-394] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:46:1] [-2:16:1] |
Generators of the group modulo torsion |
j |
45387/25 |
j-invariant |
L |
12.291578327983 |
L(r)(E,1)/r! |
Ω |
1.2121952921773 |
Real period |
R |
0.84499436732862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75645f1 75645b1 |
Quadratic twists by: -3 41 |