Atkin-Lehner |
5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
3965a |
Isogeny class |
Conductor |
3965 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
3802414084625 = 53 · 133 · 614 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4481,-67664] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1607:1] |
Generators of the group modulo torsion |
j |
9950722184749969/3802414084625 |
j-invariant |
L |
1.5782172382373 |
L(r)(E,1)/r! |
Ω |
0.60262895744551 |
Real period |
R |
5.2377743178065 |
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 |
63440g1 35685h1 19825c1 51545b1 |
Quadratic twists by: -4 -3 5 13 |