Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
10176o |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-6752305152 = -1 · 219 · 35 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 5 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,3873] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:32:1] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
3.9007056230434 |
L(r)(E,1)/r! |
Ω |
1.0030013385399 |
Real period |
R |
0.97225832936621 |
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 |
10176i1 2544d1 30528bi1 |
Quadratic twists by: -4 8 -3 |