Atkin-Lehner |
2+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850u |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22226400 |
Modular degree for the optimal curve |
Δ |
-9.4172413915699E+21 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 5 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2939617,5056668791] |
[a1,a2,a3,a4,a6] |
j |
-249506398197/836390986 |
j-invariant |
L |
6.1335943597949 |
L(r)(E,1)/r! |
Ω |
0.11358505897866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850dc1 129850ba1 |
Quadratic twists by: 5 -7 |