Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150dm |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1461600 |
Modular degree for the optimal curve |
Δ |
-90044354332980000 = -1 · 25 · 32 · 54 · 298 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 4 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63513,-15702183] |
[a1,a2,a3,a4,a6] |
Generators |
[6798:556707:1] |
Generators of the group modulo torsion |
j |
-90625/288 |
j-invariant |
L |
12.391920151763 |
L(r)(E,1)/r! |
Ω |
0.1386477004808 |
Real period |
R |
2.9792344473069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150j1 126150p1 |
Quadratic twists by: 5 29 |