Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650d |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.8880790419516E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2455000,1135654000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1161:49801:1] |
Generators of the group modulo torsion |
j |
104726949105545020801/24883705868490000 |
j-invariant |
L |
2.4455252014322 |
L(r)(E,1)/r! |
Ω |
0.15880749816905 |
Real period |
R |
3.8498264064068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006076 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15330bd2 |
Quadratic twists by: 5 |