Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984y |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.098210666822E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-581604771,-7386989931970] |
[a1,a2,a3,a4,a6] |
Generators |
[1364720547870309195992892309664152852384276524402926399901071159148:-268965097322898770403640509512373815728244878447851945588493112224815:25956812175659990934269317765801883172609690296292604250869952] |
Generators of the group modulo torsion |
j |
-8226100326647904626/4152140742401883 |
j-invariant |
L |
5.6870252730468 |
L(r)(E,1)/r! |
Ω |
0.015012678397289 |
Real period |
R |
94.703708470882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968cf3 20328p4 5544t4 |
Quadratic twists by: -4 -3 -11 |