Atkin-Lehner |
2+ 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bb |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1749888 |
Modular degree for the optimal curve |
Δ |
-196509648062988288 = -1 · 214 · 32 · 78 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -5 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-272907,58850614] |
[a1,a2,a3,a4,a6] |
Generators |
[-433:10008:1] |
Generators of the group modulo torsion |
j |
-389925044613097/34087845888 |
j-invariant |
L |
4.6354815831049 |
L(r)(E,1)/r! |
Ω |
0.31115815146091 |
Real period |
R |
3.724377425808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005342 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478f1 |
Quadratic twists by: -7 |