Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330z |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2504724856200 = 23 · 32 · 52 · 72 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-470511,-124262415] |
[a1,a2,a3,a4,a6] |
Generators |
[-396:201:1] |
Generators of the group modulo torsion |
j |
11519486320471807467889/2504724856200 |
j-invariant |
L |
8.2801832261126 |
L(r)(E,1)/r! |
Ω |
0.1822875929451 |
Real period |
R |
1.8926556045165 |
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 |
122640z4 45990bc4 76650a4 107310cp4 |
Quadratic twists by: -4 -3 5 -7 |