Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325bm |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11128320 |
Modular degree for the optimal curve |
Δ |
-2.1696940226555E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,26650050,-47099473844] |
[a1,a2,a3,a4,a6] |
Generators |
[447445846216:-43643022686420:68417929] |
Generators of the group modulo torsion |
j |
183768149583461187584/190480682373046875 |
j-invariant |
L |
6.8973250468188 |
L(r)(E,1)/r! |
Ω |
0.044658916300833 |
Real period |
R |
19.30556543389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775h1 19665r1 |
Quadratic twists by: -3 5 |