Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966c |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-22711268916 = -1 · 22 · 39 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 3 2 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,147,-7255] |
[a1,a2,a3,a4,a6] |
Generators |
[28:121:1] |
Generators of the group modulo torsion |
j |
21141/1372 |
j-invariant |
L |
3.9843282545153 |
L(r)(E,1)/r! |
Ω |
0.57429080274916 |
Real period |
R |
1.7344558930271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105966bi1 105966bk1 |
Quadratic twists by: -3 29 |