Atkin-Lehner |
2+ 5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10030c |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
236708000000 = 28 · 56 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5219,144533] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:69:1] [22:189:1] |
Generators of the group modulo torsion |
j |
15722891222170761/236708000000 |
j-invariant |
L |
4.3235648111109 |
L(r)(E,1)/r! |
Ω |
0.99253114000274 |
Real period |
R |
0.72601665191412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80240r1 90270z1 50150bh1 |
Quadratic twists by: -4 -3 5 |