Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bm |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-597049504071680000 = -1 · 218 · 54 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16575,-37160075] |
[a1,a2,a3,a4,a6] |
Generators |
[42330:319571:125] |
Generators of the group modulo torsion |
j |
454786175/539230208 |
j-invariant |
L |
3.1027105897991 |
L(r)(E,1)/r! |
Ω |
0.13496808123353 |
Real period |
R |
2.8735595930177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999779571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850ci1 9350bl1 |
Quadratic twists by: 5 -11 |