Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325ca |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-8.6107527431977E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59153180,175183428822] |
[a1,a2,a3,a4,a6] |
Generators |
[2619:194190:1] |
Generators of the group modulo torsion |
j |
-16076830317572843909/6047606864907 |
j-invariant |
L |
2.1859083223182 |
L(r)(E,1)/r! |
Ω |
0.12817003418486 |
Real period |
R |
4.2636883468606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775m1 98325cg1 |
Quadratic twists by: -3 5 |