Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420j |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-14074975044000000 = -1 · 28 · 36 · 56 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55263,7588438] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:3380:1] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
4.7368161084337 |
L(r)(E,1)/r! |
Ω |
0.36415787477023 |
Real period |
R |
3.2518973476974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680dm4 3380i4 180a4 |
Quadratic twists by: -4 -3 13 |