Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385l |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-27568805300746875 = -1 · 39 · 55 · 117 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 11- 5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2629533,-1641236612] |
[a1,a2,a3,a4,a6] |
j |
-2758240050247355723776/37817291221875 |
j-invariant |
L |
0.82990347113132 |
L(r)(E,1)/r! |
Ω |
0.059278819366523 |
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 |
3795d1 56925w1 125235bb1 |
Quadratic twists by: -3 5 -11 |