Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366k |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-19382902972 = -1 · 22 · 196 · 103 |
Discriminant |
Eigenvalues |
2- -2 4 0 -6 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,534,4768] |
[a1,a2,a3,a4,a6] |
Generators |
[24110:166279:1000] |
Generators of the group modulo torsion |
j |
357911/412 |
j-invariant |
L |
8.8193910896938 |
L(r)(E,1)/r! |
Ω |
0.81313314894206 |
Real period |
R |
5.4230915927978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
206a1 |
Quadratic twists by: -19 |