Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600ch |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-61809868800000000 = -1 · 220 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168008,-29136012] |
[a1,a2,a3,a4,a6] |
Generators |
[628:10650:1] |
Generators of the group modulo torsion |
j |
-8194759433281/965779200 |
j-invariant |
L |
6.5675404709303 |
L(r)(E,1)/r! |
Ω |
0.11713111128112 |
Real period |
R |
3.5043744991714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3450d1 110400fl1 82800du1 5520u1 |
Quadratic twists by: -4 8 -3 5 |