Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200n |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
-89068523500000000 = -1 · 28 · 59 · 114 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 11+ 6 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1081833,-433699037] |
[a1,a2,a3,a4,a6] |
Generators |
[21114:983125:8] |
Generators of the group modulo torsion |
j |
-280049488661504/178137047 |
j-invariant |
L |
4.1367392760423 |
L(r)(E,1)/r! |
Ω |
0.074013833864466 |
Real period |
R |
4.6576194545012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50600n1 101200l1 |
Quadratic twists by: -4 5 |