Atkin-Lehner |
3- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
59787f |
Isogeny class |
Conductor |
59787 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
-392262507 = -1 · 310 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -3 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-952] |
[a1,a2,a3,a4,a6] |
Generators |
[18:58:1] |
Generators of the group modulo torsion |
j |
-15625/538083 |
j-invariant |
L |
3.2410914367082 |
L(r)(E,1)/r! |
Ω |
0.77036568792114 |
Real period |
R |
2.1036057857745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19929d1 |
Quadratic twists by: -3 |