Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426o |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2.5193436912734E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12467043,16944512661] |
[a1,a2,a3,a4,a6] |
Generators |
[1875:11631:1] |
Generators of the group modulo torsion |
j |
293958874305485178964273/34558898371377408 |
j-invariant |
L |
3.5565745403305 |
L(r)(E,1)/r! |
Ω |
0.20403811273667 |
Real period |
R |
0.43577330891751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142bb1 |
Quadratic twists by: -3 |