Atkin-Lehner |
2+ 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280o |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-13297218748416000 = -1 · 238 · 32 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42655,4377057] |
[a1,a2,a3,a4,a6] |
j |
32740359775271/50724864000 |
j-invariant |
L |
1.6253610126554 |
L(r)(E,1)/r! |
Ω |
0.27089350211751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280dn1 1290e1 123840bg1 |
Quadratic twists by: -4 8 -3 |