Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544p |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-13489607775796992 = -1 · 28 · 34 · 712 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39772,-4693632] |
[a1,a2,a3,a4,a6] |
Generators |
[544:13328:1] |
Generators of the group modulo torsion |
j |
231002606000/447889743 |
j-invariant |
L |
3.209029367742 |
L(r)(E,1)/r! |
Ω |
0.20761685172132 |
Real period |
R |
3.8641244052855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272bb1 15792k1 |
Quadratic twists by: -4 -7 |