Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195t |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
964124363671875 = 34 · 58 · 77 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73428,7505131] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:2022:1] |
Generators of the group modulo torsion |
j |
372144896498089/8194921875 |
j-invariant |
L |
8.2431746567777 |
L(r)(E,1)/r! |
Ω |
0.49488117309294 |
Real period |
R |
2.0821095812908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81585t3 3885c3 |
Quadratic twists by: -3 -7 |