Atkin-Lehner |
2+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62422d |
Isogeny class |
Conductor |
62422 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
428032 |
Modular degree for the optimal curve |
Δ |
-4579192970149888 = -1 · 219 · 236 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -2 3 -1 3 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,29349,2630429] |
[a1,a2,a3,a4,a6] |
Generators |
[-58429777:1457828321:1295029] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
6.913917635249 |
L(r)(E,1)/r! |
Ω |
0.29708053259265 |
Real period |
R |
11.636436717472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118d1 |
Quadratic twists by: -23 |