Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420h |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
8328387600 = 24 · 36 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-770133,260133757] |
[a1,a2,a3,a4,a6] |
Generators |
[516:365:1] |
Generators of the group modulo torsion |
j |
151635187115776/25 |
j-invariant |
L |
4.313030015198 |
L(r)(E,1)/r! |
Ω |
0.75495657818698 |
Real period |
R |
2.8564755509222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
121680de2 3380f2 30420q2 |
Quadratic twists by: -4 -3 13 |