Atkin-Lehner |
3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
8295b |
Isogeny class |
Conductor |
8295 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2091210975 = 32 · 52 · 76 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-528,-4347] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:27:1] |
Generators of the group modulo torsion |
j |
16327137318409/2091210975 |
j-invariant |
L |
3.916868833424 |
L(r)(E,1)/r! |
Ω |
1.0041088475658 |
Real period |
R |
0.6501401454831 |
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 |
24885m2 41475o2 58065t2 |
Quadratic twists by: -3 5 -7 |