Atkin-Lehner |
2- 3+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
114552d |
Isogeny class |
Conductor |
114552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-3009348854784 = -1 · 210 · 33 · 372 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -1 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11403,476054] |
[a1,a2,a3,a4,a6] |
Generators |
[19:516:1] |
Generators of the group modulo torsion |
j |
-5930855791308/108845083 |
j-invariant |
L |
6.6013659832744 |
L(r)(E,1)/r! |
Ω |
0.8020196114884 |
Real period |
R |
0.34295534967734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877726 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114552a1 |
Quadratic twists by: -3 |