Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248ba |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4139384832 = 217 · 32 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4993,134111] |
[a1,a2,a3,a4,a6] |
j |
105047437250/31581 |
j-invariant |
L |
2.7148585008452 |
L(r)(E,1)/r! |
Ω |
1.3574292529805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248bm2 7656e2 |
Quadratic twists by: -4 8 |