Atkin-Lehner |
3+ 5+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325a |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
721828125 = 33 · 56 · 29 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 2 6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-233,-382] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:8:1] |
Generators of the group modulo torsion |
j |
89915392/46197 |
j-invariant |
L |
6.9927200309415 |
L(r)(E,1)/r! |
Ω |
1.2910446333391 |
Real period |
R |
2.7081634895933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000217444 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5133b1 |
Quadratic twists by: 5 |