Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152d |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
444102912 = 28 · 35 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4764,128160] |
[a1,a2,a3,a4,a6] |
Generators |
[56:184:1] |
Generators of the group modulo torsion |
j |
46718636988112/1734777 |
j-invariant |
L |
4.3381891454982 |
L(r)(E,1)/r! |
Ω |
1.564726107621 |
Real period |
R |
2.7724910604923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15576c1 124608cw1 93456f1 |
Quadratic twists by: -4 8 -3 |