Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825by |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-718693843546875 = -1 · 3 · 56 · 76 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10387,-1222908] |
[a1,a2,a3,a4,a6] |
j |
67419143/390963 |
j-invariant |
L |
2.0338413376617 |
L(r)(E,1)/r! |
Ω |
0.25423016865557 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2793c4 1425a4 |
Quadratic twists by: 5 -7 |