Atkin-Lehner |
3+ 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265a |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73979136 |
Modular degree for the optimal curve |
Δ |
-3.9120555655464E+25 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -4 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-218733993,-1281000203386] |
[a1,a2,a3,a4,a6] |
Generators |
[980896321149525:347534317550497963:7703734375] |
Generators of the group modulo torsion |
j |
-58800533021554793506541568/1987530135419612265625 |
j-invariant |
L |
0.99313852046992 |
L(r)(E,1)/r! |
Ω |
0.019589708291085 |
Real period |
R |
25.348476498803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122265c1 |
Quadratic twists by: -3 |