Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2838f |
Isogeny class |
Conductor |
2838 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
589220020224 = 222 · 33 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2244,17424] |
[a1,a2,a3,a4,a6] |
Generators |
[0:132:1] |
Generators of the group modulo torsion |
j |
1249695959916097/589220020224 |
j-invariant |
L |
4.8305275903402 |
L(r)(E,1)/r! |
Ω |
0.81928516340848 |
Real period |
R |
0.17866749025543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22704t1 90816e1 8514b1 70950f1 |
Quadratic twists by: -4 8 -3 5 |