Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
1290c |
Isogeny class |
Conductor |
1290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-9876709319915520 = -1 · 211 · 38 · 5 · 435 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5066,-4779064] |
[a1,a2,a3,a4,a6] |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
1.5243116720757 |
L(r)(E,1)/r! |
Ω |
0.19053895900946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10320q1 41280t1 3870w1 6450ba1 |
Quadratic twists by: -4 8 -3 5 |