Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640s |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
26258499810000 = 24 · 316 · 54 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10521,-330804] |
[a1,a2,a3,a4,a6] |
j |
8050374229540864/1641156238125 |
j-invariant |
L |
0.47813849273685 |
L(r)(E,1)/r! |
Ω |
0.47813849273685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3660e1 58560ec1 43920bz1 73200cf1 |
Quadratic twists by: -4 8 -3 5 |