Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666bv |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3458100286368 = 25 · 310 · 72 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38178,-2885745] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:75:1] |
Generators of the group modulo torsion |
j |
2801134013132125/1574010144 |
j-invariant |
L |
9.5072619056273 |
L(r)(E,1)/r! |
Ω |
0.34155515902936 |
Real period |
R |
2.7835216736969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120666k2 |
Quadratic twists by: 13 |