Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342s |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
95 |
Product of Tamagawa factors cp |
deg |
9781200 |
Modular degree for the optimal curve |
Δ |
-3.4242485863354E+26 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12832531,-890132106976] |
[a1,a2,a3,a4,a6] |
j |
9010188470393231/13201960638001752 |
j-invariant |
L |
2.3857768947632 |
L(r)(E,1)/r! |
Ω |
0.025113440997507 |
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 |
98736cv1 37026bf1 12342bc1 |
Quadratic twists by: -4 -3 -11 |