Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fr |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
119559769804800 = 212 · 312 · 52 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-248547,47690786] |
[a1,a2,a3,a4,a6] |
Generators |
[247:1170:1] |
Generators of the group modulo torsion |
j |
258840217117/18225 |
j-invariant |
L |
9.0853801192787 |
L(r)(E,1)/r! |
Ω |
0.56044541274169 |
Real period |
R |
1.0131874431562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047383 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7605v2 40560bn2 121680ej2 |
Quadratic twists by: -4 -3 13 |