Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
59640a |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112128 |
Modular degree for the optimal curve |
Δ |
157807440 = 24 · 34 · 5 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40591,-3134204] |
[a1,a2,a3,a4,a6] |
Generators |
[101476:-4005045:64] |
Generators of the group modulo torsion |
j |
462278484549842944/9862965 |
j-invariant |
L |
3.0652472734884 |
L(r)(E,1)/r! |
Ω |
0.33634984040408 |
Real period |
R |
9.113271080729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280n1 |
Quadratic twists by: -4 |