Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150cx |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-217987200 = -1 · 27 · 34 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2468,46992] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-20:1] |
Generators of the group modulo torsion |
j |
-79074084385/10368 |
j-invariant |
L |
10.82460484432 |
L(r)(E,1)/r! |
Ω |
1.7083761458918 |
Real period |
R |
0.22629268714981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150m1 126150k1 |
Quadratic twists by: 5 29 |