Atkin-Lehner |
2- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
19856c |
Isogeny class |
Conductor |
19856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
5530451968 = 218 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 0 0 0 2 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7075,229026] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:576:1] |
Generators of the group modulo torsion |
j |
9561875765625/1350208 |
j-invariant |
L |
5.1407957817079 |
L(r)(E,1)/r! |
Ω |
1.3067850332331 |
Real period |
R |
1.9669630623903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482a1 79424i1 |
Quadratic twists by: -4 8 |