Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893c |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
-2884749517583739819 = -1 · 36 · 133 · 239 |
Discriminant |
Eigenvalues |
0 3- 3 0 -3 13+ 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,146004,-78845202] |
[a1,a2,a3,a4,a6] |
Generators |
[991675216690721676:82041879476842631001:145307583456517] |
Generators of the group modulo torsion |
j |
262144/2197 |
j-invariant |
L |
6.5286875396826 |
L(r)(E,1)/r! |
Ω |
0.12602346149273 |
Real period |
R |
25.902667100043 |
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 |
6877b1 61893d1 |
Quadratic twists by: -3 -23 |