Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62328bl |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
3563753859792 = 24 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -5 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5259,-117090] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:-147:1] |
Generators of the group modulo torsion |
j |
174426112/38637 |
j-invariant |
L |
5.0182794583256 |
L(r)(E,1)/r! |
Ω |
0.56947953419425 |
Real period |
R |
0.24477903636709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656b1 62328bb1 |
Quadratic twists by: -4 -7 |