Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450n |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7083475312500 = -1 · 22 · 34 · 57 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,187,-127969] |
[a1,a2,a3,a4,a6] |
j |
46268279/453342420 |
j-invariant |
L |
2.7573328204511 |
L(r)(E,1)/r! |
Ω |
0.34466660255639 |
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 |
27600cw3 110400cw3 10350p4 690f4 |
Quadratic twists by: -4 8 -3 5 |