Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cb |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
4085760 |
Modular degree for the optimal curve |
Δ |
-6.019311983226E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -1 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,923918,-1129753852] |
[a1,a2,a3,a4,a6] |
Generators |
[874:18152:1] |
Generators of the group modulo torsion |
j |
150900148890919/1041386274432 |
j-invariant |
L |
7.2768432632644 |
L(r)(E,1)/r! |
Ω |
0.081180274828802 |
Real period |
R |
1.1794483059645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138f1 84966bc1 |
Quadratic twists by: -7 17 |