Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32120a |
Isogeny class |
Conductor |
32120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
321978983834886400 = 28 · 52 · 116 · 734 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9457207,-11194151094] |
[a1,a2,a3,a4,a6] |
Generators |
[703116328397146353:18644152210510127400:181119746592539] |
Generators of the group modulo torsion |
j |
365403271931959758656976/1257730405605025 |
j-invariant |
L |
5.563735440557 |
L(r)(E,1)/r! |
Ω |
0.086091231569347 |
Real period |
R |
21.542013586968 |
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 |
64240d2 |
Quadratic twists by: -4 |