Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119064i |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-16567525092096 = -1 · 28 · 34 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1492,-197584] |
[a1,a2,a3,a4,a6] |
Generators |
[95:726:1] |
Generators of the group modulo torsion |
j |
-810448/36531 |
j-invariant |
L |
8.2506327368 |
L(r)(E,1)/r! |
Ω |
0.3042264499679 |
Real period |
R |
1.6950023472893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10824i1 |
Quadratic twists by: -11 |