Atkin-Lehner |
2+ 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352g |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
232655563008 = 28 · 33 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20852,-1151808] |
[a1,a2,a3,a4,a6] |
j |
2211014608/513 |
j-invariant |
L |
1.5891939304321 |
L(r)(E,1)/r! |
Ω |
0.39729851044574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55176p1 912b1 |
Quadratic twists by: -4 -11 |