Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050dg |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-146266560000000 = -1 · 212 · 37 · 57 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9895,-444103] |
[a1,a2,a3,a4,a6] |
Generators |
[75:808:1] |
Generators of the group modulo torsion |
j |
9407293631/12840960 |
j-invariant |
L |
10.163117981747 |
L(r)(E,1)/r! |
Ω |
0.30855171044199 |
Real period |
R |
2.7448446064482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350r1 18810k1 |
Quadratic twists by: -3 5 |