Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450bc |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-5793750000 = -1 · 24 · 32 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 6 3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17263,-880219] |
[a1,a2,a3,a4,a6] |
j |
-1456511980945/14832 |
j-invariant |
L |
4.9980585192687 |
L(r)(E,1)/r! |
Ω |
0.20825243830286 |
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 |
123600cw1 46350bi1 15450n1 |
Quadratic twists by: -4 -3 5 |