Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650bm |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-90837386718750 = -1 · 2 · 37 · 59 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 1 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6183,417091] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3818:1] |
Generators of the group modulo torsion |
j |
2294744759/7974750 |
j-invariant |
L |
4.4414487671199 |
L(r)(E,1)/r! |
Ω |
0.42766395987819 |
Real period |
R |
0.21636188996065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bx1 19530bp1 |
Quadratic twists by: -3 5 |