Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240c |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
213444000000 = 28 · 32 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5516,-154284] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1144:1] |
Generators of the group modulo torsion |
j |
72516235474384/833765625 |
j-invariant |
L |
3.6122514919019 |
L(r)(E,1)/r! |
Ω |
0.55435597873086 |
Real period |
R |
3.2580612733462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480r2 73920dm2 27720bq2 46200cq2 |
Quadratic twists by: -4 8 -3 5 |