Atkin-Lehner |
2+ 5+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
88150h |
Isogeny class |
Conductor |
88150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-220375000 = -1 · 23 · 56 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 1 -3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-400,3000] |
[a1,a2,a3,a4,a6] |
Generators |
[39:201:1] |
Generators of the group modulo torsion |
j |
-454756609/14104 |
j-invariant |
L |
6.4948776462862 |
L(r)(E,1)/r! |
Ω |
1.7638356535142 |
Real period |
R |
3.6822464860174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3526d1 |
Quadratic twists by: 5 |