Atkin-Lehner |
2+ 3- 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640i |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
504983808000 = 211 · 34 · 53 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 3 -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14040,-644112] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:30:1] |
Generators of the group modulo torsion |
j |
149460357075122/246574125 |
j-invariant |
L |
7.8194450542739 |
L(r)(E,1)/r! |
Ω |
0.43862990116632 |
Real period |
R |
1.4855813966246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119280i1 |
Quadratic twists by: -4 |