Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bq |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
774371457612500000 = 25 · 58 · 118 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 11- 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-772951,-258177702] |
[a1,a2,a3,a4,a6] |
Generators |
[-4434:3913:8] |
Generators of the group modulo torsion |
j |
609926185/9248 |
j-invariant |
L |
3.6558446115961 |
L(r)(E,1)/r! |
Ω |
0.16116123176492 |
Real period |
R |
3.780732030744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cq1 102850dt1 |
Quadratic twists by: 5 -11 |