Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bp |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
1468736718750000 = 24 · 33 · 511 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30798,-965744] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:777:1] |
Generators of the group modulo torsion |
j |
1345484890523641/611718750000 |
j-invariant |
L |
5.5361891945919 |
L(r)(E,1)/r! |
Ω |
0.37620263542854 |
Real period |
R |
0.2229693430191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890em1 42630c1 |
Quadratic twists by: -3 -7 |