Atkin-Lehner |
2+ 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456h |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-67192622737837056 = -1 · 210 · 323 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100328,-2401564] |
[a1,a2,a3,a4,a6] |
Generators |
[32:918:1] [626:-17496:1] |
Generators of the group modulo torsion |
j |
109065122439848348/65617795642419 |
j-invariant |
L |
8.4967188610053 |
L(r)(E,1)/r! |
Ω |
0.20239608877625 |
Real period |
R |
0.45631138601521 |
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 |
16728f1 100368bc1 |
Quadratic twists by: -4 -3 |