Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080cc |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-60473837669160960 = -1 · 211 · 313 · 5 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 0 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71787,13956806] |
[a1,a2,a3,a4,a6] |
Generators |
[50:29403:8] |
Generators of the group modulo torsion |
j |
-27403349188178/40505131755 |
j-invariant |
L |
8.8272843329384 |
L(r)(E,1)/r! |
Ω |
0.31541643968824 |
Real period |
R |
1.3993063166091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360d1 |
Quadratic twists by: -3 |