Atkin-Lehner |
2+ 3- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
93330g |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1254310401600 = -1 · 26 · 36 · 52 · 172 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2100,-39664] |
[a1,a2,a3,a4,a6] |
Generators |
[32:228:1] |
Generators of the group modulo torsion |
j |
1404551713599/1720590400 |
j-invariant |
L |
4.0295552689806 |
L(r)(E,1)/r! |
Ω |
0.46190426432558 |
Real period |
R |
1.0904736059287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10370f2 |
Quadratic twists by: -3 |