Atkin-Lehner |
2- 3- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270y |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-103028112000 = -1 · 27 · 36 · 53 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-533,-16019] |
[a1,a2,a3,a4,a6] |
Generators |
[43:176:1] |
Generators of the group modulo torsion |
j |
-22930509321/141328000 |
j-invariant |
L |
10.246122009903 |
L(r)(E,1)/r! |
Ω |
0.443870436462 |
Real period |
R |
0.82441383551397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030e1 |
Quadratic twists by: -3 |