Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
15330z |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
41455569960000 = 26 · 34 · 54 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29511,-1929015] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:201:1] |
Generators of the group modulo torsion |
j |
2842342508784603889/41455569960000 |
j-invariant |
L |
8.2801832261126 |
L(r)(E,1)/r! |
Ω |
0.3645751858902 |
Real period |
R |
0.94632780225823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122640z2 45990bc2 76650a2 107310cp2 |
Quadratic twists by: -4 -3 5 -7 |