Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bu |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-135219904512 = -1 · 218 · 3 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,952,13296] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-154:1] [157:2002:1] |
Generators of the group modulo torsion |
j |
23271176375/33012672 |
j-invariant |
L |
10.614343407996 |
L(r)(E,1)/r! |
Ω |
0.70207138760554 |
Real period |
R |
3.7796524681634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398p1 |
Quadratic twists by: -4 |