Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bo |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.6991165538876E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25613616,49902849216] |
[a1,a2,a3,a4,a6] |
Generators |
[-10182:2268945:8] [1560:117216:1] |
Generators of the group modulo torsion |
j |
453708028140282858480049/4148233774139700 |
j-invariant |
L |
8.3429455051603 |
L(r)(E,1)/r! |
Ω |
0.19770382433837 |
Real period |
R |
3.5166009615156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7770x3 |
Quadratic twists by: -4 |