Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cw |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-7140729027833856 = -1 · 212 · 34 · 73 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71205,-8391213] |
[a1,a2,a3,a4,a6] |
j |
-2019487744/361179 |
j-invariant |
L |
3.473321738404 |
L(r)(E,1)/r! |
Ω |
0.14472173905201 |
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 |
3549a1 4368w1 |
Quadratic twists by: -4 13 |