Atkin-Lehner |
2+ 3- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56088c |
Isogeny class |
Conductor |
56088 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
348160 |
Modular degree for the optimal curve |
Δ |
24859996416 = 28 · 38 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399639,-97241110] |
[a1,a2,a3,a4,a6] |
Generators |
[-21508476995154815:21056414559712:58931989710875] |
Generators of the group modulo torsion |
j |
37823334126313552/133209 |
j-invariant |
L |
7.885644503784 |
L(r)(E,1)/r! |
Ω |
0.18988147159558 |
Real period |
R |
20.764649751054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112176g1 18696f1 |
Quadratic twists by: -4 -3 |