Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560di |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
808640 = 26 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-102] |
[a1,a2,a3,a4,a6] |
Generators |
[74:161:8] |
Generators of the group modulo torsion |
j |
113379904/12635 |
j-invariant |
L |
3.7821822830623 |
L(r)(E,1)/r! |
Ω |
1.9081702358806 |
Real period |
R |
3.9641979650906 |
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 |
42560cz1 21280t2 |
Quadratic twists by: -4 8 |