Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
42300p |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1284862500000000 = -1 · 28 · 37 · 511 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49575,-4585250] |
[a1,a2,a3,a4,a6] |
Generators |
[335:4050:1] |
Generators of the group modulo torsion |
j |
-4620876496/440625 |
j-invariant |
L |
4.7949306682365 |
L(r)(E,1)/r! |
Ω |
0.15911342447904 |
Real period |
R |
2.5112749410938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100i1 8460g1 |
Quadratic twists by: -3 5 |