Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200cr |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-39276800000000 = -1 · 214 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -1 5- 5 -4 7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3792,-289088] |
[a1,a2,a3,a4,a6] |
Generators |
[2266:107882:1] |
Generators of the group modulo torsion |
j |
3767855/24548 |
j-invariant |
L |
7.2020767730048 |
L(r)(E,1)/r! |
Ω |
0.32280802641 |
Real period |
R |
5.5776778411628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000096609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150y1 129200by1 |
Quadratic twists by: -4 5 |