Atkin-Lehner |
2+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408d |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-43457536 = -1 · 210 · 31 · 372 |
Discriminant |
Eigenvalues |
2+ 2 -3 -5 0 -6 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55337,5028881] |
[a1,a2,a3,a4,a6] |
Generators |
[136:3:1] |
Generators of the group modulo torsion |
j |
-18301152350854912/42439 |
j-invariant |
L |
3.5136887315767 |
L(r)(E,1)/r! |
Ω |
1.3272004002979 |
Real period |
R |
1.3237219972456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408bh1 4588e1 |
Quadratic twists by: -4 8 |