Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019i |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-419635459971 = -1 · 35 · 73 · 132 · 313 |
Discriminant |
Eigenvalues |
2 3+ -2 7+ -4 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,646,30305] |
[a1,a2,a3,a4,a6] |
j |
176141668352/2483050059 |
j-invariant |
L |
2.0993888731727 |
L(r)(E,1)/r! |
Ω |
0.69979629776145 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110019m1 |
Quadratic twists by: 13 |