Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150n |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-34753733212320000 = -1 · 28 · 35 · 54 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -1 0 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-185200,-32038400] |
[a1,a2,a3,a4,a6] |
Generators |
[720:14080:1] |
Generators of the group modulo torsion |
j |
-23891790625/1181952 |
j-invariant |
L |
2.0338104503186 |
L(r)(E,1)/r! |
Ω |
0.11473831717077 |
Real period |
R |
0.73856845897667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150cs1 2850bb1 |
Quadratic twists by: 5 -19 |