Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bx |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
4.1156905152E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111269825,-329845532223] |
[a1,a2,a3,a4,a6] |
Generators |
[-3791:193600:1] |
Generators of the group modulo torsion |
j |
2711280982499089/732421875000 |
j-invariant |
L |
4.455757379959 |
L(r)(E,1)/r! |
Ω |
0.04742436324099 |
Real period |
R |
0.52197238518173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998666145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160ix2 3630v2 116160br2 |
Quadratic twists by: -4 8 -11 |