Atkin-Lehner |
5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112225a |
Isogeny class |
Conductor |
112225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.2510209994211E+20 |
Discriminant |
Eigenvalues |
0 0 5+ 0 0 0 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-827098250,-9155535881844] |
[a1,a2,a3,a4,a6] |
Generators |
[2806760239017892695919587511399349362362397847595371449880:496343805492617715899720417157745917269690654000283407537972:55027441131290863597677500304463893200909720355059831] |
Generators of the group modulo torsion |
j |
-147197952000 |
j-invariant |
L |
4.738827576888 |
L(r)(E,1)/r! |
Ω |
0.014076033227692 |
Real period |
R |
84.164826486149 |
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 |
4489a2 112225a1 |
Quadratic twists by: 5 -67 |