Atkin-Lehner |
3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37275b |
Isogeny class |
Conductor |
37275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-526498391105859375 = -1 · 318 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-818313,-287394594] |
[a1,a2,a3,a4,a6] |
Generators |
[71139160:1815837281:50653] |
Generators of the group modulo torsion |
j |
-3878484596972846281/33695897030775 |
j-invariant |
L |
2.0482515025729 |
L(r)(E,1)/r! |
Ω |
0.079325814843887 |
Real period |
R |
6.4551858263377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111825m1 7455e1 |
Quadratic twists by: -3 5 |