Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184ct |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-216445344237416448 = -1 · 212 · 36 · 7 · 114 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541024,-154977100] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:22968:1] |
Generators of the group modulo torsion |
j |
-4275768267198290017/52843101620463 |
j-invariant |
L |
8.1982458448107 |
L(r)(E,1)/r! |
Ω |
0.087952018219357 |
Real period |
R |
1.9419314234678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6699d1 |
Quadratic twists by: -4 |