Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450d |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-33372000000000 = -1 · 211 · 34 · 59 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 3 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,875,278125] |
[a1,a2,a3,a4,a6] |
Generators |
[25:550:1] |
Generators of the group modulo torsion |
j |
4733169839/2135808000 |
j-invariant |
L |
3.119820106835 |
L(r)(E,1)/r! |
Ω |
0.50976153510141 |
Real period |
R |
0.76501949735536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600cj1 46350bu1 3090m1 |
Quadratic twists by: -4 -3 5 |