Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360b |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1531609931167825920 = -1 · 219 · 3 · 5 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 2 0 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76930881,-259690644159] |
[a1,a2,a3,a4,a6] |
Generators |
[433097072780749637283443336798385:-219296819104867520226889734336969248:1687234113399284012666710593] |
Generators of the group modulo torsion |
j |
-192081665892474305747281/5842628216430 |
j-invariant |
L |
5.3034129797197 |
L(r)(E,1)/r! |
Ω |
0.02548850606299 |
Real period |
R |
52.01769149017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39360ch2 1230k2 118080cm2 |
Quadratic twists by: -4 8 -3 |