Atkin-Lehner |
3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56355j |
Isogeny class |
Conductor |
56355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
178025445 = 36 · 5 · 132 · 172 |
Discriminant |
Eigenvalues |
0 3+ 5- 4 3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1235,17111] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:175:1] |
Generators of the group modulo torsion |
j |
721403674624/616005 |
j-invariant |
L |
5.5315364771276 |
L(r)(E,1)/r! |
Ω |
1.7909354488079 |
Real period |
R |
0.77215743326456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56355s1 |
Quadratic twists by: 17 |