Atkin-Lehner |
5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8525b |
Isogeny class |
Conductor |
8525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14535125 = 53 · 112 · 312 |
Discriminant |
Eigenvalues |
1 0 5- 4 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] |
Generators of the group modulo torsion |
j |
212776173/116281 |
j-invariant |
L |
5.3949157784712 |
L(r)(E,1)/r! |
Ω |
1.8155624907368 |
Real period |
R |
1.4857422440694 |
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 |
76725bb2 8525c2 93775l2 |
Quadratic twists by: -3 5 -11 |