Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ch |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.2158288342E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,356167,211065537] |
[a1,a2,a3,a4,a6] |
Generators |
[13584:614125:27] |
Generators of the group modulo torsion |
j |
2498351450368/11079144171 |
j-invariant |
L |
4.2902455323575 |
L(r)(E,1)/r! |
Ω |
0.15358083395531 |
Real period |
R |
1.9953408359672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600jx1 5100t1 81600en1 |
Quadratic twists by: -4 8 5 |