Atkin-Lehner |
2- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930k |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
35904 |
Modular degree for the optimal curve |
Δ |
-49648536780800 = -1 · 217 · 52 · 193 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -2 -7 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9071,471093] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:914:1] [-63:924:1] |
Generators of the group modulo torsion |
j |
-82545272445122929/49648536780800 |
j-invariant |
L |
6.2234223903676 |
L(r)(E,1)/r! |
Ω |
0.587400098455 |
Real period |
R |
0.051935593102634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71440e1 80370w1 44650f1 |
Quadratic twists by: -4 -3 5 |