Atkin-Lehner |
2+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
34336a |
Isogeny class |
Conductor |
34336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-136759463936 = -1 · 212 · 293 · 372 |
Discriminant |
Eigenvalues |
2+ 1 -3 2 -1 -5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897,-20881] |
[a1,a2,a3,a4,a6] |
Generators |
[43:148:1] [91:812:1] |
Generators of the group modulo torsion |
j |
-19508557888/33388541 |
j-invariant |
L |
8.6906037205497 |
L(r)(E,1)/r! |
Ω |
0.41215223824847 |
Real period |
R |
0.87857945378418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34336b1 68672x1 |
Quadratic twists by: -4 8 |