Atkin-Lehner |
3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475o |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-393464707734375 = -1 · 310 · 57 · 19 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4187,948992] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:680:1] [17:-1021:1] |
Generators of the group modulo torsion |
j |
519524563319/25181741295 |
j-invariant |
L |
8.0034812451565 |
L(r)(E,1)/r! |
Ω |
0.40519599917522 |
Real period |
R |
0.98760615379432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095d2 |
Quadratic twists by: 5 |