Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304x |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2425821472714752 = 212 · 314 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5944476,5578512896] |
[a1,a2,a3,a4,a6] |
Generators |
[1424:1064:1] [-620:95004:1] |
Generators of the group modulo torsion |
j |
7779952936541447488/812402703 |
j-invariant |
L |
8.1748552331035 |
L(r)(E,1)/r! |
Ω |
0.35366329090378 |
Real period |
R |
1.9262330968843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304j4 76608ex1 12768p2 |
Quadratic twists by: -4 8 -3 |