Atkin-Lehner |
2- 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123970r |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
753984 |
Modular degree for the optimal curve |
Δ |
-4107120942848000 = -1 · 211 · 53 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11+ 3 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11269,3049745] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:1125:1] |
Generators of the group modulo torsion |
j |
27453209231/712448000 |
j-invariant |
L |
11.105270624707 |
L(r)(E,1)/r! |
Ω |
0.32968929767415 |
Real period |
R |
0.51036439065131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999179969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970bq1 |
Quadratic twists by: -7 |