Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bw |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1245548408832 = 212 · 32 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,155505] |
[a1,a2,a3,a4,a6] |
Generators |
[8:333:1] |
Generators of the group modulo torsion |
j |
1000000/63 |
j-invariant |
L |
6.2227026703691 |
L(r)(E,1)/r! |
Ω |
0.84736944922459 |
Real period |
R |
3.671776635152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999684384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568x2 672a2 |
Quadratic twists by: -4 13 |