Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450m |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-1226153272320000 = -1 · 213 · 39 · 54 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 0 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23074,-1007152] |
[a1,a2,a3,a4,a6] |
j |
2173899265153175/1961845235712 |
j-invariant |
L |
2.3978161284659 |
L(r)(E,1)/r! |
Ω |
0.26642401427399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27600bz1 110400cq1 10350bt1 3450p1 |
Quadratic twists by: -4 8 -3 5 |