Atkin-Lehner |
2- 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10488b |
Isogeny class |
Conductor |
10488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-23157504 = -1 · 28 · 32 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 -3 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-401,3237] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:78:1] [-4:69:1] |
Generators of the group modulo torsion |
j |
-27925402624/90459 |
j-invariant |
L |
4.9372170779373 |
L(r)(E,1)/r! |
Ω |
2.1458236018247 |
Real period |
R |
0.28760618264118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20976c1 83904k1 31464c1 |
Quadratic twists by: -4 8 -3 |