Atkin-Lehner |
2- 11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120802f |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
883200 |
Modular degree for the optimal curve |
Δ |
-388687134195712 = -1 · 220 · 11 · 173 · 193 |
Discriminant |
Eigenvalues |
2- 2 4 -2 11+ -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15136,-1195199] |
[a1,a2,a3,a4,a6] |
j |
-78057043609553/79114010624 |
j-invariant |
L |
8.2715385362459 |
L(r)(E,1)/r! |
Ω |
0.20678852976933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120802n1 |
Quadratic twists by: 17 |