Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948b |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6050304 |
Modular degree for the optimal curve |
Δ |
1.2091948012644E+20 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -2 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8024550,8736082629] |
[a1,a2,a3,a4,a6] |
Generators |
[3992847455:66169998517:3048625] |
Generators of the group modulo torsion |
j |
30358311007079398144/64237413899841 |
j-invariant |
L |
5.6165277989934 |
L(r)(E,1)/r! |
Ω |
0.18653477619479 |
Real period |
R |
15.054907460802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000376256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564r1 |
Quadratic twists by: -7 |