Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516m |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11197440 |
Modular degree for the optimal curve |
Δ |
-986151220572697344 = -1 · 28 · 39 · 119 · 83 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84597069,-299517351201] |
[a1,a2,a3,a4,a6] |
Generators |
[16115022944988041550:-7525386044898472464417:73765656619019] |
Generators of the group modulo torsion |
j |
-147636448854636470272/2174440059 |
j-invariant |
L |
12.997777128319 |
L(r)(E,1)/r! |
Ω |
0.024890334269212 |
Real period |
R |
29.011210598496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10956d1 |
Quadratic twists by: -11 |