Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bd |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-8.6549585072499E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33180224,441516701198] |
[a1,a2,a3,a4,a6] |
Generators |
[-5708:260066:1] |
Generators of the group modulo torsion |
j |
5495662324535111/117739817533440 |
j-invariant |
L |
4.5251046529514 |
L(r)(E,1)/r! |
Ω |
0.045304343009206 |
Real period |
R |
2.4970589751933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830u1 2850q1 |
Quadratic twists by: 5 -19 |