Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768co |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[330:2187:8] |
Generators of the group modulo torsion |
j |
1512953792/37141821 |
j-invariant |
L |
5.6034350614157 |
L(r)(E,1)/r! |
Ω |
1.0900045070804 |
Real period |
R |
2.5703723671698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000234205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768dk1 60384l1 |
Quadratic twists by: -4 8 |