Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600f |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
8062031250000 = 24 · 34 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3317783,2327161812] |
[a1,a2,a3,a4,a6] |
j |
16155773913566746624/32248125 |
j-invariant |
L |
1.9185037995469 |
L(r)(E,1)/r! |
Ω |
0.47962595001553 |
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 |
109200bm1 10920p1 |
Quadratic twists by: -4 5 |