Atkin-Lehner |
3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525bb |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36800 |
Modular degree for the optimal curve |
Δ |
-12112857421875 = -1 · 32 · 59 · 75 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 2 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6083,245744] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:187:1] |
Generators of the group modulo torsion |
j |
-12747309056/6201783 |
j-invariant |
L |
5.2826804609498 |
L(r)(E,1)/r! |
Ω |
0.66530529742712 |
Real period |
R |
1.985058769778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64575bm1 21525q1 |
Quadratic twists by: -3 5 |