Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15900a |
Isogeny class |
Conductor |
15900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
686880000 = 28 · 34 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 -6 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,-1863] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:10:1] [-9:18:1] |
Generators of the group modulo torsion |
j |
25600000/4293 |
j-invariant |
L |
5.7636325332651 |
L(r)(E,1)/r! |
Ω |
1.1300697536561 |
Real period |
R |
0.2833469406359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63600dn1 47700j1 15900c1 |
Quadratic twists by: -4 -3 5 |