Atkin-Lehner |
2+ 3- 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606r |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-4859494413228 = -1 · 22 · 37 · 74 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3843,141169] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:287:1] [119:-1225:1] |
Generators of the group modulo torsion |
j |
-8611343303473/6665973132 |
j-invariant |
L |
6.9603756631422 |
L(r)(E,1)/r! |
Ω |
0.70696619431653 |
Real period |
R |
0.30766922268952 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202h2 |
Quadratic twists by: -3 |