Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626v |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15863040 |
Modular degree for the optimal curve |
Δ |
4.296202934746E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 1 2 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88339118,-51759611935] |
[a1,a2,a3,a4,a6] |
Generators |
[-2238932553303480:331327576247561225:784797991424] |
Generators of the group modulo torsion |
j |
51875959429369/29232640476 |
j-invariant |
L |
10.149278397733 |
L(r)(E,1)/r! |
Ω |
0.053024954956749 |
Real period |
R |
23.925711973756 |
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 |
22542j1 67626y1 |
Quadratic twists by: -3 17 |