Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930m |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-334558148422220 = -1 · 22 · 5 · 173 · 237 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4508,-888074] |
[a1,a2,a3,a4,a6] |
Generators |
[412:7993:1] |
Generators of the group modulo torsion |
j |
-68417929/2259980 |
j-invariant |
L |
4.2387205560181 |
L(r)(E,1)/r! |
Ω |
0.23559481502618 |
Real period |
R |
2.2489462224834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910b1 |
Quadratic twists by: -23 |