Atkin-Lehner |
2- 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176t |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2181120 |
Modular degree for the optimal curve |
Δ |
-50683179000508416 = -1 · 212 · 318 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 5 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2470224,1494390256] |
[a1,a2,a3,a4,a6] |
j |
-558271228763533312/16973694099 |
j-invariant |
L |
1.3269654849981 |
L(r)(E,1)/r! |
Ω |
0.33174134080862 |
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 |
7011e1 37392o1 |
Quadratic twists by: -4 -3 |