Atkin-Lehner |
2+ 3- 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658bj |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-466702055280384 = -1 · 28 · 3 · 79 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1885,-1038754] |
[a1,a2,a3,a4,a6] |
Generators |
[239196:2248463:1728] |
Generators of the group modulo torsion |
j |
6300872423/3966902016 |
j-invariant |
L |
8.3743352382825 |
L(r)(E,1)/r! |
Ω |
0.24585428252585 |
Real period |
R |
8.5155474609732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094f1 |
Quadratic twists by: -7 |