Atkin-Lehner |
2- 7- 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
129808i |
Isogeny class |
Conductor |
129808 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1233792 |
Modular degree for the optimal curve |
Δ |
-71489390379008 = -1 · 219 · 76 · 19 · 61 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-750464,250482688] |
[a1,a2,a3,a4,a6] |
Generators |
[512:448:1] |
Generators of the group modulo torsion |
j |
-11411794288233795457/17453464448 |
j-invariant |
L |
1.9290714567672 |
L(r)(E,1)/r! |
Ω |
0.52402068427402 |
Real period |
R |
0.15338702875554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000198819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16226c1 |
Quadratic twists by: -4 |