Atkin-Lehner |
2+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63800a |
Isogeny class |
Conductor |
63800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1976268800 = -1 · 211 · 52 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11+ 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-2192] |
[a1,a2,a3,a4,a6] |
Generators |
[320106:64032601:8] |
Generators of the group modulo torsion |
j |
-1488770/38599 |
j-invariant |
L |
7.6652374791949 |
L(r)(E,1)/r! |
Ω |
0.63965034018012 |
Real period |
R |
11.983480656769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600h1 63800p1 |
Quadratic twists by: -4 5 |