Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184n |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-16917705726768 = -1 · 24 · 316 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6001,-86562] |
[a1,a2,a3,a4,a6] |
Generators |
[3222630:37421488:91125] |
Generators of the group modulo torsion |
j |
1493489719298048/1057356607923 |
j-invariant |
L |
4.7583690508307 |
L(r)(E,1)/r! |
Ω |
0.39101046624844 |
Real period |
R |
12.169416072709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592z1 |
Quadratic twists by: -4 |