Atkin-Lehner |
3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
106425j |
Isogeny class |
Conductor |
106425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-4724653951903359375 = -1 · 38 · 57 · 118 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1089005,-449469628] |
[a1,a2,a3,a4,a6] |
Generators |
[1224:6475:1] |
Generators of the group modulo torsion |
j |
-12539072261612161/414784434735 |
j-invariant |
L |
2.2729166720811 |
L(r)(E,1)/r! |
Ω |
0.073750955635413 |
Real period |
R |
3.852351222853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35475h1 21285c1 |
Quadratic twists by: -3 5 |