Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cx |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2160778438016E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588627,45438354] |
[a1,a2,a3,a4,a6] |
Generators |
[-767:6760:1] |
Generators of the group modulo torsion |
j |
57960603/31250 |
j-invariant |
L |
7.457624933653 |
L(r)(E,1)/r! |
Ω |
0.19695245473296 |
Real period |
R |
1.577712607877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210d4 121680ck2 720f4 |
Quadratic twists by: -4 -3 13 |