Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850bv |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3928320 |
Modular degree for the optimal curve |
Δ |
48398216100781250 = 2 · 58 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1771200,906497750] |
[a1,a2,a3,a4,a6] |
j |
7338805705/578 |
j-invariant |
L |
2.0441115216512 |
L(r)(E,1)/r! |
Ω |
0.34068530498495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cf1 102850dc1 |
Quadratic twists by: 5 -11 |