Atkin-Lehner |
2+ 3+ 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39192d |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
146029392 = 24 · 35 · 232 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5743,169444] |
[a1,a2,a3,a4,a6] |
j |
1309470737152000/9126837 |
j-invariant |
L |
1.6393169922573 |
L(r)(E,1)/r! |
Ω |
1.6393169922245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384d1 117576h1 |
Quadratic twists by: -4 -3 |