Atkin-Lehner |
2- 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bs |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
7694455061223452160 = 29 · 322 · 5 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2247377,-1289319231] |
[a1,a2,a3,a4,a6] |
j |
1721962932192204598729/10554808040087040 |
j-invariant |
L |
8.8812358465726 |
L(r)(E,1)/r! |
Ω |
0.12335050481267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470i2 |
Quadratic twists by: -3 |