Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400z |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-43156800000000000 = -1 · 215 · 36 · 511 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 5 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,80992,4576512] |
[a1,a2,a3,a4,a6] |
j |
918046641959/674325000 |
j-invariant |
L |
3.679682852677 |
L(r)(E,1)/r! |
Ω |
0.22998017828462 |
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 |
5550bh1 8880bc1 |
Quadratic twists by: -4 5 |