Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312h |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4180220692678E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10460176059,411771803658950] |
[a1,a2,a3,a4,a6] |
Generators |
[97864156260777334922698443525250423550:-17623623199471345044361974385668682251270:1013205384943926891350303968208729] |
Generators of the group modulo torsion |
j |
169556018616790717975462247908/189957088754367561 |
j-invariant |
L |
6.9154246752057 |
L(r)(E,1)/r! |
Ω |
0.065379626288177 |
Real period |
R |
52.886694738238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96624p4 16104g3 |
Quadratic twists by: -4 -3 |