Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624be |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-24299009703936 = -1 · 215 · 33 · 112 · 613 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11- -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2901,-229414] |
[a1,a2,a3,a4,a6] |
Generators |
[485:-10736:1] [79:702:1] |
Generators of the group modulo torsion |
j |
24414238701/219717608 |
j-invariant |
L |
8.8385257564362 |
L(r)(E,1)/r! |
Ω |
0.3330657108003 |
Real period |
R |
0.5528517265173 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078p1 96624x2 |
Quadratic twists by: -4 -3 |