Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610bc |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-235773296640 = -1 · 216 · 37 · 5 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157,-23389] |
[a1,a2,a3,a4,a6] |
Generators |
[43:226:1] |
Generators of the group modulo torsion |
j |
590589719/323420160 |
j-invariant |
L |
7.646662892969 |
L(r)(E,1)/r! |
Ω |
0.46320428589225 |
Real period |
R |
2.0635233540207 |
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 |
9870k1 |
Quadratic twists by: -3 |