Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24108a |
Isogeny class |
Conductor |
24108 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7378560 |
Modular degree for the optimal curve |
Δ |
-5.9838201668653E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1992658957,-34236485568263] |
[a1,a2,a3,a4,a6] |
j |
-592923077334706559623168/40546581793227 |
j-invariant |
L |
1.8303170605764 |
L(r)(E,1)/r! |
Ω |
0.011298253460349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432ce1 72324e1 24108m1 |
Quadratic twists by: -4 -3 -7 |