Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4002i |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-26125579653696 = -1 · 26 · 37 · 235 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 1 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1735,245063] |
[a1,a2,a3,a4,a6] |
Generators |
[17:520:1] |
Generators of the group modulo torsion |
j |
577572497126639/26125579653696 |
j-invariant |
L |
4.4202000209262 |
L(r)(E,1)/r! |
Ω |
0.50739982625751 |
Real period |
R |
0.29038244215473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32016y1 128064bn1 12006e1 100050z1 |
Quadratic twists by: -4 8 -3 5 |