Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bi |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-4.8480486473381E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2574401,1625426129] |
[a1,a2,a3,a4,a6] |
Generators |
[951:5572:1] |
Generators of the group modulo torsion |
j |
-2588359596574997681353/66502724929191936 |
j-invariant |
L |
11.464161839225 |
L(r)(E,1)/r! |
Ω |
0.20054410947829 |
Real period |
R |
1.429132208002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14322f2 |
Quadratic twists by: -3 |