Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666p |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
69691603297542408 = 23 · 32 · 74 · 136 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-114754,-7956788] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:1294:1] |
Generators of the group modulo torsion |
j |
34623662831857/14438442312 |
j-invariant |
L |
4.9494851250872 |
L(r)(E,1)/r! |
Ω |
0.2691644316488 |
Real period |
R |
1.149270792601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
714f3 |
Quadratic twists by: 13 |