Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bh |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1369219208026521600 = 220 · 37 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369584,-65676418] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:3529:1] |
Generators of the group modulo torsion |
j |
47454048237634921/11638171238400 |
j-invariant |
L |
4.7033333146872 |
L(r)(E,1)/r! |
Ω |
0.19709649100753 |
Real period |
R |
1.7045071573993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890gc1 6090e1 |
Quadratic twists by: -3 -7 |