Atkin-Lehner |
13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71383d |
Isogeny class |
Conductor |
71383 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1288192 |
Modular degree for the optimal curve |
Δ |
2611808920351175753 = 132 · 179 · 194 |
Discriminant |
Eigenvalues |
1 -2 0 -2 -6 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-608496,-165376951] |
[a1,a2,a3,a4,a6] |
Generators |
[-553:1720:1] [-2954:25471:8] |
Generators of the group modulo torsion |
j |
210114283625/22024249 |
j-invariant |
L |
7.337100018538 |
L(r)(E,1)/r! |
Ω |
0.17209503836469 |
Real period |
R |
21.317000444187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71383c1 |
Quadratic twists by: 17 |