Atkin-Lehner |
2+ 3+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33456d |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-5903801531136 = -1 · 28 · 39 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 0 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8620,332368] |
[a1,a2,a3,a4,a6] |
Generators |
[48:164:1] |
Generators of the group modulo torsion |
j |
-276729797638096/23061724731 |
j-invariant |
L |
4.262768923889 |
L(r)(E,1)/r! |
Ω |
0.74178410876197 |
Real period |
R |
0.95777393843145 |
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 |
16728k1 100368k1 |
Quadratic twists by: -4 -3 |