Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224t |
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] |
j |
-5225472 |
j-invariant |
L |
4.172029422681 |
L(r)(E,1)/r! |
Ω |
2.0860147113405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224ef1 3528r1 28224u1 28224h1 |
Quadratic twists by: -4 8 -3 -7 |