Atkin-Lehner |
2- 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502bj |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
120031853987561472 = 216 · 33 · 117 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-320552,-67756565] |
[a1,a2,a3,a4,a6] |
Generators |
[685:5465:1] [-323:1577:1] |
Generators of the group modulo torsion |
j |
76154932854603/2509438976 |
j-invariant |
L |
12.959387736925 |
L(r)(E,1)/r! |
Ω |
0.20104912031556 |
Real period |
R |
1.0071689593392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128502e1 11682b1 |
Quadratic twists by: -3 -11 |