Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59472w |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2694795264 = 212 · 33 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1851,-30550] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:10:1] |
Generators of the group modulo torsion |
j |
6341898051/24367 |
j-invariant |
L |
5.4988278617284 |
L(r)(E,1)/r! |
Ω |
0.72802838755757 |
Real period |
R |
1.888260113101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3717b2 59472x2 |
Quadratic twists by: -4 -3 |