Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ef |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-21676032 = -1 · 214 · 33 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 -3 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1008,-12320] |
[a1,a2,a3,a4,a6] |
Generators |
[86645:211485:2197] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
7.3180347991743 |
L(r)(E,1)/r! |
Ω |
0.42364241971385 |
Real period |
R |
8.6370420650007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224t1 7056l1 28224eh1 28224dh1 |
Quadratic twists by: -4 8 -3 -7 |