Atkin-Lehner |
2- 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266ba |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1137024 |
Modular degree for the optimal curve |
Δ |
-5088272354724593664 = -1 · 214 · 39 · 79 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 4 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162461,111457189] |
[a1,a2,a3,a4,a6] |
j |
-24092245494857259/258511017361408 |
j-invariant |
L |
5.7819829220023 |
L(r)(E,1)/r! |
Ω |
0.20649939007204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266f1 |
Quadratic twists by: -3 |