Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420be |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
1285200 |
Modular degree for the optimal curve |
Δ |
-29639189888550000 = -1 · 24 · 39 · 55 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11- 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20610,-8367867] |
[a1,a2,a3,a4,a6] |
Generators |
[261:2025:1] |
Generators of the group modulo torsion |
j |
-34158804736/1045659375 |
j-invariant |
L |
11.932671280501 |
L(r)(E,1)/r! |
Ω |
0.16191621544215 |
Real period |
R |
1.6377017620087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1020h1 |
Quadratic twists by: -11 |