Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420q |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
40199536223168400 = 24 · 36 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130152477,571513864129] |
[a1,a2,a3,a4,a6] |
j |
151635187115776/25 |
j-invariant |
L |
3.7689710585547 |
L(r)(E,1)/r! |
Ω |
0.20938728103092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680eu2 3380a2 30420h2 |
Quadratic twists by: -4 -3 13 |