Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400ex |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-18240769728000000 = -1 · 212 · 37 · 56 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30525,6165250] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1778:1] [41:2736:1] |
Generators of the group modulo torsion |
j |
67419143/390963 |
j-invariant |
L |
10.320547304014 |
L(r)(E,1)/r! |
Ω |
0.28022384173958 |
Real period |
R |
2.301853412967 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4275e4 22800de3 2736t4 |
Quadratic twists by: -4 -3 5 |