Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420f |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30800250000 = 24 · 36 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2613,50713] |
[a1,a2,a3,a4,a6] |
Generators |
[162:625:8] |
Generators of the group modulo torsion |
j |
1000939264/15625 |
j-invariant |
L |
5.5309507951118 |
L(r)(E,1)/r! |
Ω |
1.1760821561485 |
Real period |
R |
2.3514304533047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680dg2 3380e2 30420s2 |
Quadratic twists by: -4 -3 13 |