Atkin-Lehner |
2- 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84960z |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
247077837734400000 = 212 · 33 · 55 · 595 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -5 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198168,-24103408] |
[a1,a2,a3,a4,a6] |
Generators |
[1264:41772:1] |
Generators of the group modulo torsion |
j |
7782167585797632/2234138434375 |
j-invariant |
L |
3.8613432041936 |
L(r)(E,1)/r! |
Ω |
0.23122937396309 |
Real period |
R |
0.83495948927496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84960w1 84960a1 |
Quadratic twists by: -4 -3 |