Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bg |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-11851936200 = -1 · 23 · 36 · 52 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2061,36208] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-33:1] |
Generators of the group modulo torsion |
j |
-38700335782705/474077448 |
j-invariant |
L |
6.8126790238412 |
L(r)(E,1)/r! |
Ω |
1.2756101227468 |
Real period |
R |
0.29670677680147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150cd1 |
Quadratic twists by: 5 |