Atkin-Lehner |
5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4715a |
Isogeny class |
Conductor |
4715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
338890625 = 56 · 232 · 41 |
Discriminant |
Eigenvalues |
1 0 5+ -4 6 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-410,3175] |
[a1,a2,a3,a4,a6] |
Generators |
[510:11245:1] |
Generators of the group modulo torsion |
j |
7632573179769/338890625 |
j-invariant |
L |
3.8156293911848 |
L(r)(E,1)/r! |
Ω |
1.6910419054185 |
Real period |
R |
2.2563777863568 |
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 |
75440q1 42435g1 23575b1 108445g1 |
Quadratic twists by: -4 -3 5 -23 |