Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30360y |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-436636994411566080 = -1 · 210 · 32 · 5 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22880,-31771748] |
[a1,a2,a3,a4,a6] |
Generators |
[130889646:6657564452:50653] |
Generators of the group modulo torsion |
j |
1293519065604476/426403314855045 |
j-invariant |
L |
5.2561903559018 |
L(r)(E,1)/r! |
Ω |
0.13964358276925 |
Real period |
R |
9.4100105634418 |
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 |
60720ba3 91080j3 |
Quadratic twists by: -4 -3 |