Atkin-Lehner |
2- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298y |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1102080 |
Modular degree for the optimal curve |
Δ |
104582458510093312 = 210 · 79 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -5 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-143424,13952000] |
[a1,a2,a3,a4,a6] |
Generators |
[1768:71832:1] |
Generators of the group modulo torsion |
j |
8085502817911/2591650816 |
j-invariant |
L |
9.5791535601096 |
L(r)(E,1)/r! |
Ω |
0.30964892539122 |
Real period |
R |
0.51559216383231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298s1 |
Quadratic twists by: -7 |