Atkin-Lehner |
3+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21879c |
Isogeny class |
Conductor |
21879 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
708476654457 = 33 · 11 · 134 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 0 -2 11+ 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19925,-1076780] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:59:1] |
Generators of the group modulo torsion |
j |
32399216194309875/26239876091 |
j-invariant |
L |
2.9042140408116 |
L(r)(E,1)/r! |
Ω |
0.40185815848387 |
Real period |
R |
0.90337037444027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21879f1 |
Quadratic twists by: -3 |