Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107584a |
Isogeny class |
Conductor |
107584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1046600119631347712 = -1 · 217 · 418 |
Discriminant |
Eigenvalues |
2+ 0 2 2 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,194996,-36390288] |
[a1,a2,a3,a4,a6] |
Generators |
[8093467158189159:-217276041077318565:17195487486731] |
Generators of the group modulo torsion |
j |
1317006/1681 |
j-invariant |
L |
7.9769646336252 |
L(r)(E,1)/r! |
Ω |
0.14788950580818 |
Real period |
R |
26.969339621395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107584i2 13448a2 2624a2 |
Quadratic twists by: -4 8 41 |