Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
121605f |
Isogeny class |
Conductor |
121605 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5412695719550625 = 32 · 54 · 118 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-90752,9871899] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:26673:8] |
Generators of the group modulo torsion |
j |
46659888108001/3055325625 |
j-invariant |
L |
3.8856972539803 |
L(r)(E,1)/r! |
Ω |
0.42124260967599 |
Real period |
R |
2.3060922377934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011256 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11055d2 |
Quadratic twists by: -11 |