Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150ch |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-259920000 = -1 · 27 · 32 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,1181] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] [-90:401:8] |
Generators of the group modulo torsion |
j |
-3258025/1152 |
j-invariant |
L |
11.502881361411 |
L(r)(E,1)/r! |
Ω |
1.6462874089142 |
Real period |
R |
0.16636106561328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150w1 54150bg1 |
Quadratic twists by: 5 -19 |