Atkin-Lehner |
2- 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472x |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1964505747456 = 212 · 39 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16659,824850] |
[a1,a2,a3,a4,a6] |
j |
6341898051/24367 |
j-invariant |
L |
3.335919791243 |
L(r)(E,1)/r! |
Ω |
0.83397994780641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3717a2 59472w2 |
Quadratic twists by: -4 -3 |