Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37026l |
Isogeny class |
Conductor |
37026 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
1526092116441818112 = 210 · 37 · 119 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288063,-2869619] |
[a1,a2,a3,a4,a6] |
Generators |
[894:-21743:1] |
Generators of the group modulo torsion |
j |
2046931732873/1181672448 |
j-invariant |
L |
3.956228384127 |
L(r)(E,1)/r! |
Ω |
0.22492148683601 |
Real period |
R |
1.0993359393367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342u1 3366q1 |
Quadratic twists by: -3 -11 |