Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600s |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1441500000000 = -1 · 28 · 3 · 59 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2092,43812] |
[a1,a2,a3,a4,a6] |
Generators |
[72:750:1] |
Generators of the group modulo torsion |
j |
253012016/360375 |
j-invariant |
L |
4.5533214820321 |
L(r)(E,1)/r! |
Ω |
0.5765672081786 |
Real period |
R |
0.9871619078928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200r1 55800u1 3720d1 |
Quadratic twists by: -4 -3 5 |