Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150y |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-2413453695300 = -1 · 22 · 33 · 52 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 3 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2519,-56512] |
[a1,a2,a3,a4,a6] |
Generators |
[163:2084:1] |
Generators of the group modulo torsion |
j |
1503815/2052 |
j-invariant |
L |
5.191622804579 |
L(r)(E,1)/r! |
Ω |
0.4343894835174 |
Real period |
R |
0.49798078697603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150ce1 2850s1 |
Quadratic twists by: 5 -19 |