Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240bc |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7808250544128000 = 236 · 32 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59720,-3651600] |
[a1,a2,a3,a4,a6] |
j |
5750828726750281/1906311168000 |
j-invariant |
L |
1.8811174340275 |
L(r)(E,1)/r! |
Ω |
0.31351957233791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3030n1 96960da1 72720bf1 121200dh1 |
Quadratic twists by: -4 8 -3 5 |