Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400m |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-902500000000000000 = -1 · 214 · 516 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,88367,44545137] |
[a1,a2,a3,a4,a6] |
j |
298091207216/3525390625 |
j-invariant |
L |
3.307442504787 |
L(r)(E,1)/r! |
Ω |
0.20671515654919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30400bi2 1900a2 6080j2 |
Quadratic twists by: -4 8 5 |