Atkin-Lehner |
3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64239g |
Isogeny class |
Conductor |
64239 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-27985993173033 = -1 · 3 · 79 · 19 · 233 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 6 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-203449,-35406568] |
[a1,a2,a3,a4,a6] |
Generators |
[1000:27111:1] |
Generators of the group modulo torsion |
j |
-23078531131111/693519 |
j-invariant |
L |
2.8463403421519 |
L(r)(E,1)/r! |
Ω |
0.11239704021696 |
Real period |
R |
4.2206632503529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64239p1 |
Quadratic twists by: -7 |