Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330f |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
485829180755100 = 22 · 33 · 52 · 712 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46020,-3637404] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:426:1] |
Generators of the group modulo torsion |
j |
3393257824683/152943700 |
j-invariant |
L |
3.9160539541959 |
L(r)(E,1)/r! |
Ω |
0.32686767622883 |
Real period |
R |
1.4975685265469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330dl2 8190e2 |
Quadratic twists by: -3 -7 |