Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10527a |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
503529011469 = 34 · 118 · 29 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 11- -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3549,-72700] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:22:1] [-40:60:1] |
Generators of the group modulo torsion |
j |
23068672/2349 |
j-invariant |
L |
3.9084545002996 |
L(r)(E,1)/r! |
Ω |
0.6225955258107 |
Real period |
R |
1.0462797376115 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31581k1 10527e1 |
Quadratic twists by: -3 -11 |