Atkin-Lehner |
3+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20349a |
Isogeny class |
Conductor |
20349 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
5295888297 = 39 · 72 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3026,64720] |
[a1,a2,a3,a4,a6] |
Generators |
[4:227:1] |
Generators of the group modulo torsion |
j |
155634054939/269059 |
j-invariant |
L |
1.9513712775147 |
L(r)(E,1)/r! |
Ω |
1.3593301132099 |
Real period |
R |
0.71776945811447 |
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 |
20349b1 |
Quadratic twists by: -3 |