Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600a |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-192080000000 = -1 · 210 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,21188] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:50:1] |
Generators of the group modulo torsion |
j |
-196/5 |
j-invariant |
L |
5.5925340174417 |
L(r)(E,1)/r! |
Ω |
0.84388363702571 |
Real period |
R |
1.6567847070577 |
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 |
9800a1 78400gc1 3920b1 19600p1 |
Quadratic twists by: -4 8 5 -7 |