Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840i |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
454272000 = 210 · 3 · 53 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-840,9600] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:130:1] |
Generators of the group modulo torsion |
j |
64088267044/443625 |
j-invariant |
L |
4.8210835070037 |
L(r)(E,1)/r! |
Ω |
1.6766570027582 |
Real period |
R |
0.47923571518332 |
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 |
10920s1 87360gk1 65520w1 109200bq1 |
Quadratic twists by: -4 8 -3 5 |