Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200eo |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
2894062500000000 = 28 · 33 · 513 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13672575,19459137250] |
[a1,a2,a3,a4,a6] |
Generators |
[1985:11850:1] |
Generators of the group modulo torsion |
j |
7630566466251024/78125 |
j-invariant |
L |
7.6501036137632 |
L(r)(E,1)/r! |
Ω |
0.31619956743031 |
Real period |
R |
3.0242386449832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200n1 17640b1 88200en1 |
Quadratic twists by: -3 5 -7 |