Atkin-Lehner |
3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34485k |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
90722037411225 = 34 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44894,3628667] |
[a1,a2,a3,a4,a6] |
j |
4243659659/38475 |
j-invariant |
L |
2.4242893758887 |
L(r)(E,1)/r! |
Ω |
0.60607234397617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455w1 34485l1 |
Quadratic twists by: -3 -11 |