Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240t |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-201025498800 = -1 · 24 · 3 · 52 · 72 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,609,-20580] |
[a1,a2,a3,a4,a6] |
Generators |
[36232:316407:512] |
Generators of the group modulo torsion |
j |
1558627321856/12564093675 |
j-invariant |
L |
7.6582600749782 |
L(r)(E,1)/r! |
Ω |
0.49808223655792 |
Real period |
R |
7.687746633493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120b1 |
Quadratic twists by: -4 |