Atkin-Lehner |
3+ 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283j |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-597494446731 = -1 · 34 · 77 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -3 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7807,270717] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:-662:1] [-310:5729:8] |
Generators of the group modulo torsion |
j |
-447346081792/5078619 |
j-invariant |
L |
6.3355550933625 |
L(r)(E,1)/r! |
Ω |
0.92043486004395 |
Real period |
R |
0.4302012130176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469f1 |
Quadratic twists by: -7 |