Atkin-Lehner |
5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3325j |
Isogeny class |
Conductor |
3325 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3000 |
Modular degree for the optimal curve |
Δ |
-124739453125 = -1 · 58 · 75 · 19 |
Discriminant |
Eigenvalues |
1 0 5- 7- 6 -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-617,-17834] |
[a1,a2,a3,a4,a6] |
j |
-66560265/319333 |
j-invariant |
L |
2.1662294289616 |
L(r)(E,1)/r! |
Ω |
0.43324588579231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200cy1 29925bm1 3325e1 23275z1 |
Quadratic twists by: -4 -3 5 -7 |