Atkin-Lehner |
3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63897l |
Isogeny class |
Conductor |
63897 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
756110908200537 = 35 · 197 · 592 |
Discriminant |
Eigenvalues |
-1 3- -2 0 6 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27624,-1173897] |
[a1,a2,a3,a4,a6] |
Generators |
[429:7908:1] |
Generators of the group modulo torsion |
j |
49552182217/16071777 |
j-invariant |
L |
4.7545570525122 |
L(r)(E,1)/r! |
Ω |
0.37987168256995 |
Real period |
R |
1.2516218688162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363c1 |
Quadratic twists by: -19 |