Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64575r |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-256298175 = -1 · 36 · 52 · 73 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -6 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153,216] |
[a1,a2,a3,a4,a6] |
Generators |
[100:954:1] |
Generators of the group modulo torsion |
j |
21653735/14063 |
j-invariant |
L |
5.0975323053879 |
L(r)(E,1)/r! |
Ω |
1.0929035735708 |
Real period |
R |
4.6642104831001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7175a1 64575bs1 |
Quadratic twists by: -3 5 |