Atkin-Lehner |
3- 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
59787c |
Isogeny class |
Conductor |
59787 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
861800727879 = 310 · 7 · 134 · 73 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24813,1509970] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:602:1] [-34:1538:1] |
Generators of the group modulo torsion |
j |
2317628675596753/1182168351 |
j-invariant |
L |
9.9543336966234 |
L(r)(E,1)/r! |
Ω |
0.87716344863571 |
Real period |
R |
5.6741612478857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19929b3 |
Quadratic twists by: -3 |