Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426p |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-22109533062923376 = -1 · 24 · 310 · 76 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,252,7153920] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-3144:1] |
Generators of the group modulo torsion |
j |
2422300607/30328577589744 |
j-invariant |
L |
3.4937037037513 |
L(r)(E,1)/r! |
Ω |
0.30283006656717 |
Real period |
R |
0.96140379525504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999174 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142bc1 |
Quadratic twists by: -3 |