Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150r |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
4.421819081687E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26451792,-51370480384] |
[a1,a2,a3,a4,a6] |
Generators |
[-330080:-809808:125] |
Generators of the group modulo torsion |
j |
4851826120835540459523/104813489343692800 |
j-invariant |
L |
5.1712539298018 |
L(r)(E,1)/r! |
Ω |
0.066658657102806 |
Real period |
R |
3.878906473992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150ds1 16830bq1 |
Quadratic twists by: -3 5 |