Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42560bg |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-22313697280 = -1 · 225 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 3 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26145,1618495] |
[a1,a2,a3,a4,a6] |
Generators |
[93:4:1] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
3.8352996955612 |
L(r)(E,1)/r! |
Ω |
1.093473441703 |
Real period |
R |
1.75372329555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42560df1 1330b1 |
Quadratic twists by: -4 8 |