Atkin-Lehner |
2- 3- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510bg |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
610081875000 = 23 · 36 · 57 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -5 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3467,69859] |
[a1,a2,a3,a4,a6] |
Generators |
[17:116:1] |
Generators of the group modulo torsion |
j |
6320337464169/836875000 |
j-invariant |
L |
11.949339860914 |
L(r)(E,1)/r! |
Ω |
0.88118799781343 |
Real period |
R |
0.64573755292228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13390a1 |
Quadratic twists by: -3 |