Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626n |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
713131776 |
Modular degree for the optimal curve |
Δ |
2.4787352281554E+34 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -2 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-239505375690,44474609517705972] |
[a1,a2,a3,a4,a6] |
Generators |
[22429346259286077228:2234098788482739021930:68734577336347] |
Generators of the group modulo torsion |
j |
298779371619116129414560801/4874288601508740071424 |
j-invariant |
L |
5.231587983546 |
L(r)(E,1)/r! |
Ω |
0.011971702264857 |
Real period |
R |
18.208173560049 |
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 |
22542y1 67626e1 |
Quadratic twists by: -3 17 |