Atkin-Lehner |
2+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550i |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-107207738849689000 = -1 · 23 · 53 · 238 · 372 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1078340,-431741800] |
[a1,a2,a3,a4,a6] |
Generators |
[2034210443757580104031047356656002:-8113307794746794641786948549942139:1689303975675385901386580345592] |
Generators of the group modulo torsion |
j |
-1109382917283985944509/857661910797512 |
j-invariant |
L |
7.0559265070045 |
L(r)(E,1)/r! |
Ω |
0.0740730866931 |
Real period |
R |
47.628138788379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42550x2 |
Quadratic twists by: 5 |