Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
72720ce |
Isogeny class |
Conductor |
72720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-3.2824177995232E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3154893,1716414194] |
[a1,a2,a3,a4,a6] |
Generators |
[5353:414720:1] |
Generators of the group modulo torsion |
j |
1163027916345872591/1099275079680000 |
j-invariant |
L |
7.3602271267065 |
L(r)(E,1)/r! |
Ω |
0.092713110120966 |
Real period |
R |
2.4808476107322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9090k1 24240r1 |
Quadratic twists by: -4 -3 |