Atkin-Lehner |
2- 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576bk |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
3411072 |
Modular degree for the optimal curve |
Δ |
-2.7196964840933E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5212270,-4585372901] |
[a1,a2,a3,a4,a6] |
j |
-978778736918445588411136/1699810302558328191 |
j-invariant |
L |
2.6974988788736 |
L(r)(E,1)/r! |
Ω |
0.049953695498438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644m1 |
Quadratic twists by: -4 |