Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bh |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
511785935152128 = 210 · 33 · 78 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84845,-9456856] |
[a1,a2,a3,a4,a6] |
Generators |
[1068:32908:1] |
Generators of the group modulo torsion |
j |
574125551923897/4350108672 |
j-invariant |
L |
7.3410519163296 |
L(r)(E,1)/r! |
Ω |
0.27986075105377 |
Real period |
R |
2.1859239785353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10374a1 |
Quadratic twists by: -7 |