Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200i |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-155952000000 = -1 · 210 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1125,-12250] |
[a1,a2,a3,a4,a6] |
j |
364500/361 |
j-invariant |
L |
2.23262037601 |
L(r)(E,1)/r! |
Ω |
0.55815509400275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400a2 34200ca2 1368e2 |
Quadratic twists by: -4 -3 5 |