Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400es |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1989102883968000000 = -1 · 213 · 316 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-307875,-94486750] |
[a1,a2,a3,a4,a6] |
Generators |
[3881:239096:1] |
Generators of the group modulo torsion |
j |
-69173457625/42633378 |
j-invariant |
L |
8.3860096585461 |
L(r)(E,1)/r! |
Ω |
0.098576728617141 |
Real period |
R |
5.3169303851663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550n2 22800bw2 2736o2 |
Quadratic twists by: -4 -3 5 |