Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382c |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-365027586048 = -1 · 212 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 2 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9783,376029] |
[a1,a2,a3,a4,a6] |
Generators |
[39:210:1] |
Generators of the group modulo torsion |
j |
-142048716869233/500723712 |
j-invariant |
L |
3.2993024195003 |
L(r)(E,1)/r! |
Ω |
0.95926107419661 |
Real period |
R |
0.85985518130804 |
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 |
115056q1 4794h1 |
Quadratic twists by: -4 -3 |