Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200ct |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
240640000000 = 216 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 3 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,8863] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-400:1] |
Generators of the group modulo torsion |
j |
470596/235 |
j-invariant |
L |
7.0356260033329 |
L(r)(E,1)/r! |
Ω |
0.87580501839288 |
Real period |
R |
1.0041655754167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200e1 18800d1 15040bf1 |
Quadratic twists by: -4 8 5 |