Atkin-Lehner |
2- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104780o |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
39018762250000 = 24 · 56 · 132 · 314 |
Discriminant |
Eigenvalues |
2- 1 5- -3 1 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70490,7173713] |
[a1,a2,a3,a4,a6] |
Generators |
[161:-155:1] [26:2315:1] |
Generators of the group modulo torsion |
j |
14325365703710464/14430015625 |
j-invariant |
L |
13.127552993998 |
L(r)(E,1)/r! |
Ω |
0.64391426305508 |
Real period |
R |
0.28315435050866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104780b1 |
Quadratic twists by: 13 |