Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150b |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1484437640625000 = -1 · 23 · 36 · 59 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -3 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13350,-1750500] |
[a1,a2,a3,a4,a6] |
Generators |
[1005:31560:1] |
Generators of the group modulo torsion |
j |
129205871/729000 |
j-invariant |
L |
3.2129854109135 |
L(r)(E,1)/r! |
Ω |
0.23951602957388 |
Real period |
R |
0.55893708810346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10830ba1 54150cm1 |
Quadratic twists by: 5 -19 |