Atkin-Lehner |
2+ 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21328a |
Isogeny class |
Conductor |
21328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
2623514624 = 211 · 313 · 43 |
Discriminant |
Eigenvalues |
2+ 0 1 -4 -1 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347,-342] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:2:1] [23:62:1] |
Generators of the group modulo torsion |
j |
2256223842/1281013 |
j-invariant |
L |
7.0886247000656 |
L(r)(E,1)/r! |
Ω |
1.1944661109427 |
Real period |
R |
0.9890924817268 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10664c1 85312x1 |
Quadratic twists by: -4 8 |