Atkin-Lehner |
3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6405d |
Isogeny class |
Conductor |
6405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7205625 = 33 · 54 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61488,5843043] |
[a1,a2,a3,a4,a6] |
Generators |
[2942:44579:8] |
Generators of the group modulo torsion |
j |
25710223352011171849/7205625 |
j-invariant |
L |
3.7438087403057 |
L(r)(E,1)/r! |
Ω |
1.3946486693783 |
Real period |
R |
5.3688198648259 |
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 |
102480bw4 19215y3 32025u4 44835y4 |
Quadratic twists by: -4 -3 5 -7 |