Atkin-Lehner |
5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3325g |
Isogeny class |
Conductor |
3325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-445498046875 = -1 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1895,-5228] |
[a1,a2,a3,a4,a6] |
Generators |
[34:295:1] |
Generators of the group modulo torsion |
j |
48188806119/28511875 |
j-invariant |
L |
2.0932179216494 |
L(r)(E,1)/r! |
Ω |
0.55012708691669 |
Real period |
R |
0.95124289070247 |
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 |
53200bm3 29925be3 665b4 23275m3 |
Quadratic twists by: -4 -3 5 -7 |