Atkin-Lehner |
2+ 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950bm |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-8197200000000 = -1 · 210 · 34 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1924,-133702] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2311:1] |
Generators of the group modulo torsion |
j |
2017917095/20984832 |
j-invariant |
L |
5.6706860601231 |
L(r)(E,1)/r! |
Ω |
0.3633277263327 |
Real period |
R |
0.65031807019898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850gb1 37950bw1 |
Quadratic twists by: -3 5 |