Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328bg |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-396968836694040576 = -1 · 213 · 315 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-299739,-70060534] |
[a1,a2,a3,a4,a6] |
Generators |
[1285:-40824:1] |
Generators of the group modulo torsion |
j |
-997392270041497/132944060214 |
j-invariant |
L |
4.1467359095394 |
L(r)(E,1)/r! |
Ω |
0.10126775090968 |
Real period |
R |
1.2796324200828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166bg1 13776g1 |
Quadratic twists by: -4 -3 |