Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080r |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
648960 |
Modular degree for the optimal curve |
Δ |
37347972868800000 = 29 · 313 · 55 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 1 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360136,-82784440] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:594:1] |
Generators of the group modulo torsion |
j |
689102501118152/4982259375 |
j-invariant |
L |
8.2255292081225 |
L(r)(E,1)/r! |
Ω |
0.19497192833648 |
Real period |
R |
0.54087531249496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58080bj1 116160cf1 58080ca1 |
Quadratic twists by: -4 8 -11 |