Atkin-Lehner |
5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10675o |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-383050437875 = -1 · 53 · 77 · 612 |
Discriminant |
Eigenvalues |
0 -3 5- 7- 3 -3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,890,-27969] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1494:1] |
Generators of the group modulo torsion |
j |
623711453184/3064403503 |
j-invariant |
L |
2.2884464219224 |
L(r)(E,1)/r! |
Ω |
0.47888494266077 |
Real period |
R |
0.17066777856966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075cc1 10675m1 74725r1 |
Quadratic twists by: -3 5 -7 |