Atkin-Lehner |
13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79781c |
Isogeny class |
Conductor |
79781 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-3358276123423 = -1 · 13 · 172 · 197 |
Discriminant |
Eigenvalues |
-1 -2 0 2 -2 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,88159] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:278:1] |
Generators of the group modulo torsion |
j |
-15625/71383 |
j-invariant |
L |
1.8427996085409 |
L(r)(E,1)/r! |
Ω |
0.63666424714097 |
Real period |
R |
2.8944606388069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4199a1 |
Quadratic twists by: -19 |