Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224l |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-999664087597056 = -1 · 217 · 33 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,2420208] |
[a1,a2,a3,a4,a6] |
j |
-2646 |
j-invariant |
L |
3.7147553451974 |
L(r)(E,1)/r! |
Ω |
0.46434441814977 |
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 |
28224dp1 3528c1 28224m1 28224d1 |
Quadratic twists by: -4 8 -3 -7 |