Atkin-Lehner |
2+ 3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426w |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
27397721232 = 24 · 37 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9072,334768] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-133:1] |
Generators of the group modulo torsion |
j |
113274521466625/37582608 |
j-invariant |
L |
3.3847604203459 |
L(r)(E,1)/r! |
Ω |
1.161519623521 |
Real period |
R |
0.72851985275243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142x1 |
Quadratic twists by: -3 |