Atkin-Lehner |
2+ 3+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426b |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
144384 |
Modular degree for the optimal curve |
Δ |
-686103555816 = -1 · 23 · 33 · 78 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 1 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4611,128093] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3481:1] |
Generators of the group modulo torsion |
j |
-401604243908139/25411242808 |
j-invariant |
L |
3.816620456176 |
L(r)(E,1)/r! |
Ω |
0.89237544549676 |
Real period |
R |
1.0692305790185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69426y1 |
Quadratic twists by: -3 |