Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240d |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-2855651823360 = -1 · 28 · 32 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2556,-94464] |
[a1,a2,a3,a4,a6] |
j |
-7216659188944/11154889935 |
j-invariant |
L |
2.5469444981198 |
L(r)(E,1)/r! |
Ω |
0.31836806077708 |
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 |
36120l1 |
Quadratic twists by: -4 |