Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200dc |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
282752000 = 210 · 53 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14720,-687400] |
[a1,a2,a3,a4,a6] |
Generators |
[276650:3044660:1331] |
Generators of the group modulo torsion |
j |
2755733225472/2209 |
j-invariant |
L |
6.0681644702283 |
L(r)(E,1)/r! |
Ω |
0.43343364794567 |
Real period |
R |
7.0001077432195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75200bq1 18800bh1 75200dr1 |
Quadratic twists by: -4 8 5 |