Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128l |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-22384012797411328 = -1 · 220 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25676,-7370384] |
[a1,a2,a3,a4,a6] |
Generators |
[437283:15461543:343] |
Generators of the group modulo torsion |
j |
-60698457/725788 |
j-invariant |
L |
6.2205970630354 |
L(r)(E,1)/r! |
Ω |
0.16243154662258 |
Real period |
R |
9.5741824666289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bc1 2254b1 10304l1 |
Quadratic twists by: -4 8 -7 |