Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664o |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-2556596224 = -1 · 212 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 0 3 7- -3 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1091,14082] |
[a1,a2,a3,a4,a6] |
Generators |
[23:34:1] |
Generators of the group modulo torsion |
j |
-35062107417/624169 |
j-invariant |
L |
6.4250032415921 |
L(r)(E,1)/r! |
Ω |
1.4460769743639 |
Real period |
R |
2.2215287828708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1729a1 110656bp1 |
Quadratic twists by: -4 8 |