Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450m |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-213373975265280000 = -1 · 239 · 33 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-520301,-146196952] |
[a1,a2,a3,a4,a6] |
j |
-24923353462910020825/341398360424448 |
j-invariant |
L |
2.3978161284659 |
L(r)(E,1)/r! |
Ω |
0.088808004757998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600bz2 110400cq2 10350bt2 3450p2 |
Quadratic twists by: -4 8 -3 5 |