Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bw |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
21892781250000 = 24 · 36 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7050,35125] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2250:1] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
6.8957701633027 |
L(r)(E,1)/r! |
Ω |
0.58499601365639 |
Real period |
R |
1.473465203667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600bu1 6200c1 11160h1 |
Quadratic twists by: -4 -3 5 |