Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119852b |
Isogeny class |
Conductor |
119852 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
397440 |
Modular degree for the optimal curve |
Δ |
-1576417896952576 = -1 · 28 · 197 · 832 |
Discriminant |
Eigenvalues |
2- 2 1 1 1 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26955,-873727] |
[a1,a2,a3,a4,a6] |
Generators |
[10378140:157248397:216000] |
Generators of the group modulo torsion |
j |
179830784/130891 |
j-invariant |
L |
11.950426712924 |
L(r)(E,1)/r! |
Ω |
0.2669688824068 |
Real period |
R |
11.190842299555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6308e1 |
Quadratic twists by: -19 |