Atkin-Lehner |
3+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19065g |
Isogeny class |
Conductor |
19065 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
218311706390625 = 32 · 56 · 314 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4925125,4204962242] |
[a1,a2,a3,a4,a6] |
Generators |
[-2440:42486:1] [-703:85911:1] |
Generators of the group modulo torsion |
j |
13212210666474807217218001/218311706390625 |
j-invariant |
L |
4.3276615558472 |
L(r)(E,1)/r! |
Ω |
0.400429715096 |
Real period |
R |
7.2050289854392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
57195m2 95325z2 |
Quadratic twists by: -3 5 |