Atkin-Lehner |
3+ 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467f |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-3674619 = -1 · 33 · 13 · 192 · 29 |
Discriminant |
Eigenvalues |
-2 3+ -1 2 -2 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,92] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:53:8] [1:-10:1] |
Generators of the group modulo torsion |
j |
-110592/136097 |
j-invariant |
L |
5.340222937175 |
L(r)(E,1)/r! |
Ω |
2.0088123421359 |
Real period |
R |
0.66459952793878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467h1 |
Quadratic twists by: -3 |