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 |
-11835857053125000 = -1 · 23 · 32 · 58 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3231,-5235039] |
[a1,a2,a3,a4,a6] |
Generators |
[336:5457:1] |
Generators of the group modulo torsion |
j |
-3730293358969969/11835857053125000 |
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 |
122640z3 45990bc3 76650a3 107310cp3 |
Quadratic twists by: -4 -3 5 -7 |