Atkin-Lehner |
2- 3- 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
60606bd |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
31232466460593216 = 26 · 316 · 72 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-530969,148809273] |
[a1,a2,a3,a4,a6] |
j |
22709256472716286537/42842889520704 |
j-invariant |
L |
4.4522190692128 |
L(r)(E,1)/r! |
Ω |
0.3710182557444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20202a2 |
Quadratic twists by: -3 |