Atkin-Lehner |
7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27209c |
Isogeny class |
Conductor |
27209 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
1707324399053 = 7 · 139 · 23 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 3 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5633,148230] |
[a1,a2,a3,a4,a6] |
Generators |
[30:84:1] |
Generators of the group modulo torsion |
j |
4096000000/353717 |
j-invariant |
L |
2.2405481612637 |
L(r)(E,1)/r! |
Ω |
0.81917750123238 |
Real period |
R |
1.3675596301735 |
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 |
2093h1 |
Quadratic twists by: 13 |