Atkin-Lehner |
2+ 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
112632c |
Isogeny class |
Conductor |
112632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
274560 |
Modular degree for the optimal curve |
Δ |
-32349525092352 = -1 · 211 · 311 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 -3 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8632,-409652] |
[a1,a2,a3,a4,a6] |
j |
-5064278294/2302911 |
j-invariant |
L |
0.48466458341678 |
L(r)(E,1)/r! |
Ω |
0.24233249900954 |
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 |
112632u1 |
Quadratic twists by: -19 |