Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550g |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26732160 |
Modular degree for the optimal curve |
Δ |
-5.9812876244686E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-268273592,-1695299221184] |
[a1,a2,a3,a4,a6] |
Generators |
[34109170970013:5484078295992389:973242271] |
Generators of the group modulo torsion |
j |
-136658754931863917899493073/382802407965990977536 |
j-invariant |
L |
4.8789251236009 |
L(r)(E,1)/r! |
Ω |
0.018648856854179 |
Real period |
R |
18.687185729976 |
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 |
4862d1 |
Quadratic twists by: 5 |