Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bt |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
29494080 |
Modular degree for the optimal curve |
Δ |
-7.638361325E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 3 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80899230,-280051707603] |
[a1,a2,a3,a4,a6] |
Generators |
[40609:7942195:1] |
Generators of the group modulo torsion |
j |
-650058625147745961/8480000000 |
j-invariant |
L |
7.3068874484861 |
L(r)(E,1)/r! |
Ω |
0.025169994607978 |
Real period |
R |
2.1992538063187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000270338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970m1 129850cx1 |
Quadratic twists by: 5 -7 |