Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224bq |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1137731567616 = -1 · 217 · 311 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-46928] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1296:1] |
Generators of the group modulo torsion |
j |
68782/243 |
j-invariant |
L |
6.3192286321407 |
L(r)(E,1)/r! |
Ω |
0.4423211665385 |
Real period |
R |
1.785814559134 |
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 |
28224fk1 3528v1 9408bc1 28224z1 |
Quadratic twists by: -4 8 -3 -7 |