Atkin-Lehner |
2+ 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650z |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
32482173789388800 = 214 · 32 · 52 · 235 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1481701,694029008] |
[a1,a2,a3,a4,a6] |
j |
14390139500264321640625/1299286951575552 |
j-invariant |
L |
2.826032537453 |
L(r)(E,1)/r! |
Ω |
0.35325421999037 |
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 |
127650ct1 |
Quadratic twists by: 5 |