Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950by |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-20495881828125000 = -1 · 23 · 34 · 59 · 113 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 11+ 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,62537,-3322219] |
[a1,a2,a3,a4,a6] |
Generators |
[245:-5298:1] |
Generators of the group modulo torsion |
j |
1731069015117911/1311736437000 |
j-invariant |
L |
5.8935493931946 |
L(r)(E,1)/r! |
Ω |
0.2145134691909 |
Real period |
R |
0.76316748772915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850bw2 7590j2 |
Quadratic twists by: -3 5 |