Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400cp |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
33480000000000 = 212 · 33 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 1 0 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8333,87963] |
[a1,a2,a3,a4,a6] |
j |
1600000/837 |
j-invariant |
L |
3.455843881776 |
L(r)(E,1)/r! |
Ω |
0.57597398451684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74400bq1 74400s1 |
Quadratic twists by: -4 5 |