Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136m |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-41442647086512 = -1 · 24 · 35 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-947,-310248] |
[a1,a2,a3,a4,a6] |
Generators |
[9508:108045:64] |
Generators of the group modulo torsion |
j |
-49948672/22016043 |
j-invariant |
L |
11.012669831944 |
L(r)(E,1)/r! |
Ω |
0.28899177577282 |
Real period |
R |
3.8107208390179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50568g1 14448c1 |
Quadratic twists by: -4 -7 |