Atkin-Lehner |
2- 3- 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274bu |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2972762856 = 23 · 310 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2416514,-1445275047] |
[a1,a2,a3,a4,a6] |
Generators |
[16659:2132075:1] |
Generators of the group modulo torsion |
j |
2140740187297176845017/4077864 |
j-invariant |
L |
13.529537281691 |
L(r)(E,1)/r! |
Ω |
0.12108831611595 |
Real period |
R |
9.3110671169307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000060639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37758e4 |
Quadratic twists by: -3 |