Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200x |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-18832500000000000 = -1 · 211 · 35 · 513 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40986008,100981727988] |
[a1,a2,a3,a4,a6] |
Generators |
[3148:56250:1] |
Generators of the group modulo torsion |
j |
-237947203935023980322/588515625 |
j-invariant |
L |
5.9161825899925 |
L(r)(E,1)/r! |
Ω |
0.25379676040669 |
Real period |
R |
0.58276774105706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18600c1 111600bq1 7440e1 |
Quadratic twists by: -4 -3 5 |