Atkin-Lehner |
2+ 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240c |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-3408750000 = -1 · 24 · 33 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -3 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5835,-169650] |
[a1,a2,a3,a4,a6] |
j |
-1373411683895296/213046875 |
j-invariant |
L |
1.9118206136275 |
L(r)(E,1)/r! |
Ω |
0.27311723051822 |
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 |
12120h1 96960dh1 72720m1 121200z1 |
Quadratic twists by: -4 8 -3 5 |