Atkin-Lehner |
2+ 3+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
15738c |
Isogeny class |
Conductor |
15738 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-30751485935616 = -1 · 214 · 32 · 434 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -3 -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1709,-268899] |
[a1,a2,a3,a4,a6] |
Generators |
[410:8051:1] |
Generators of the group modulo torsion |
j |
-552518603439193/30751485935616 |
j-invariant |
L |
1.4864047987247 |
L(r)(E,1)/r! |
Ω |
0.28987755158862 |
Real period |
R |
0.32048118045419 |
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 |
125904r1 47214n1 |
Quadratic twists by: -4 -3 |