Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600bc |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-117048750000 = -1 · 24 · 3 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1217,2438] |
[a1,a2,a3,a4,a6] |
j |
796706816/468195 |
j-invariant |
L |
2.5497640721537 |
L(r)(E,1)/r! |
Ω |
0.6374410175627 |
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 |
109200k1 10920k1 |
Quadratic twists by: -4 5 |