Atkin-Lehner |
2+ 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290y |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-2.4326274375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7489989,-7923603627] |
[a1,a2,a3,a4,a6] |
j |
-63744065119669395144529/333693750000000000 |
j-invariant |
L |
1.2772365357535 |
L(r)(E,1)/r! |
Ω |
0.045615590563042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bh1 |
Quadratic twists by: -3 |