Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102245j |
Isogeny class |
Conductor |
102245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
4745356598125 = 54 · 112 · 137 |
Discriminant |
Eigenvalues |
1 3 5- 2 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41014,-3185077] |
[a1,a2,a3,a4,a6] |
Generators |
[-83502:50201:729] |
Generators of the group modulo torsion |
j |
13064132169/8125 |
j-invariant |
L |
17.443787027462 |
L(r)(E,1)/r! |
Ω |
0.33549205438714 |
Real period |
R |
3.2496647004659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102245m1 7865c1 |
Quadratic twists by: -11 13 |