Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708f |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9.133889424734E+21 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5572324,2120840344] |
[a1,a2,a3,a4,a6] |
Generators |
[1434188380499268486416154044683923090:109677410943381673674206693595107339863:215983470654452593199649181686696] |
Generators of the group modulo torsion |
j |
7048597880464/3364539363 |
j-invariant |
L |
6.7779779882807 |
L(r)(E,1)/r! |
Ω |
0.11575804302918 |
Real period |
R |
58.552976895825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999546872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123708e2 |
Quadratic twists by: 13 |