Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326i |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1697552565286248 = -1 · 23 · 34 · 1110 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 11- 0 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65221,-6737771] |
[a1,a2,a3,a4,a6] |
Generators |
[1645:65062:1] |
Generators of the group modulo torsion |
j |
-17319700013617/958224168 |
j-invariant |
L |
2.37977744032 |
L(r)(E,1)/r! |
Ω |
0.14889432882136 |
Real period |
R |
3.9957489648242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6666f1 |
Quadratic twists by: -11 |