Atkin-Lehner |
5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19475d |
Isogeny class |
Conductor |
19475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
3613525390625 = 512 · 192 · 41 |
Discriminant |
Eigenvalues |
1 -2 5+ 2 -4 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8751,-302227] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:99:1] [257:3671:1] |
Generators of the group modulo torsion |
j |
4742478770401/231265625 |
j-invariant |
L |
6.5825693761324 |
L(r)(E,1)/r! |
Ω |
0.49511139788972 |
Real period |
R |
6.6475639666035 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3895f1 |
Quadratic twists by: 5 |