Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20646w |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-517146154434035712 = -1 · 236 · 38 · 31 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30522290,64911985841] |
[a1,a2,a3,a4,a6] |
Generators |
[3897:69727:1] |
Generators of the group modulo torsion |
j |
-4313675915025106680753625/709391158345728 |
j-invariant |
L |
7.8787654059027 |
L(r)(E,1)/r! |
Ω |
0.23030100939075 |
Real period |
R |
4.276341116972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6882g3 |
Quadratic twists by: -3 |