Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300d |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-1081836000000 = -1 · 28 · 36 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5733,176337] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:459:1] |
Generators of the group modulo torsion |
j |
-5210570752/270459 |
j-invariant |
L |
5.4514025480278 |
L(r)(E,1)/r! |
Ω |
0.86217530538169 |
Real period |
R |
3.1614235143902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4452e1 |
Quadratic twists by: 5 |