Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576h |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
4132946944 = 210 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3 -3 7+ -1 2 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3724,87416] |
[a1,a2,a3,a4,a6] |
Generators |
[1119:1763:27] |
Generators of the group modulo torsion |
j |
2323060992/1681 |
j-invariant |
L |
9.4695724494787 |
L(r)(E,1)/r! |
Ω |
1.3752717125623 |
Real period |
R |
3.4428005215058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cc1 16072b1 128576bw1 |
Quadratic twists by: -4 8 -7 |