Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13860p |
Isogeny class |
Conductor |
13860 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3494400 |
Modular degree for the optimal curve |
Δ |
-3.3174136301248E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33278628,286796059877] |
[a1,a2,a3,a4,a6] |
Generators |
[314788:31490613:64] |
Generators of the group modulo torsion |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
4.8854583477566 |
L(r)(E,1)/r! |
Ω |
0.056203175536423 |
Real period |
R |
4.3462476106805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440cw1 4620e1 69300bn1 97020cy1 |
Quadratic twists by: -4 -3 5 -7 |