Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136o |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-15540962304 = -1 · 210 · 3 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,-159132] |
[a1,a2,a3,a4,a6] |
Generators |
[65870868360:1994108865498:71473375] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
10.106825177899 |
L(r)(E,1)/r! |
Ω |
0.27712227270549 |
Real period |
R |
18.235317355094 |
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 |
50568p1 2064a1 |
Quadratic twists by: -4 -7 |