Atkin-Lehner |
2+ 3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184k |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1641201408 = -1 · 28 · 32 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404,-3552] |
[a1,a2,a3,a4,a6] |
Generators |
[53:348:1] |
Generators of the group modulo torsion |
j |
-28556329552/6410943 |
j-invariant |
L |
4.0744729830463 |
L(r)(E,1)/r! |
Ω |
0.52604601924722 |
Real period |
R |
1.9363671803093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592be1 |
Quadratic twists by: -4 |