Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104c |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-96032778688 = -1 · 26 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-605,-15972] |
[a1,a2,a3,a4,a6] |
j |
-216000/847 |
j-invariant |
L |
0.87922807277665 |
L(r)(E,1)/r! |
Ω |
0.4396140363885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27104s1 54208f1 2464l1 |
Quadratic twists by: -4 8 -11 |