Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160z |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10967040 |
Modular degree for the optimal curve |
Δ |
9.5502973324493E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- 5 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9080001,9426325185] |
[a1,a2,a3,a4,a6] |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
0.50063993704489 |
L(r)(E,1)/r! |
Ω |
0.12515987212431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160hy1 3630y1 116160x1 |
Quadratic twists by: -4 8 -11 |