Atkin-Lehner |
2+ 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170g |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1778236031250 = 2 · 39 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17484,-883162] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:49:1] |
Generators of the group modulo torsion |
j |
30030930248787/90343750 |
j-invariant |
L |
3.7103318169748 |
L(r)(E,1)/r! |
Ω |
0.41525677936156 |
Real period |
R |
1.4891716809851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170s2 |
Quadratic twists by: -3 |