Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768dk |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-2377076544 = -1 · 26 · 310 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 5 -3 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96,-2286] |
[a1,a2,a3,a4,a6] |
j |
1512953792/37141821 |
j-invariant |
L |
7.0356014364922 |
L(r)(E,1)/r! |
Ω |
0.70356018186872 |
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 |
120768co1 60384a1 |
Quadratic twists by: -4 8 |