Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480cj |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-9143264793067520 = -1 · 218 · 5 · 178 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 -2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45855,2638463] |
[a1,a2,a3,a4,a6] |
Generators |
[-17381:148436:343] |
Generators of the group modulo torsion |
j |
5831/5 |
j-invariant |
L |
4.6152012242889 |
L(r)(E,1)/r! |
Ω |
0.26660326055181 |
Real period |
R |
8.6555603603098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480ek1 1445b1 92480l1 |
Quadratic twists by: -4 8 17 |