Atkin-Lehner |
2- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408bh |
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 |
[5063462:129592377:6859] |
Generators of the group modulo torsion |
j |
-18301152350854912/42439 |
j-invariant |
L |
3.9414897513694 |
L(r)(E,1)/r! |
Ω |
0.15563777095629 |
Real period |
R |
12.662381784369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988231 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408d1 18352n1 |
Quadratic twists by: -4 8 |