Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ee |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
503024830596288 = 26 · 33 · 76 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45359,-3546889] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:354:1] |
Generators of the group modulo torsion |
j |
3249025693731/158357056 |
j-invariant |
L |
13.123642962394 |
L(r)(E,1)/r! |
Ω |
0.32812973635997 |
Real period |
R |
0.83323514178937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126n2 2574s2 |
Quadratic twists by: -3 -7 |