Atkin-Lehner |
3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10527i |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
615424347351 = 32 · 119 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-205945,-35989879] |
[a1,a2,a3,a4,a6] |
Generators |
[-38460734590334838060:19809930896317538393:146746783656936000] |
Generators of the group modulo torsion |
j |
409675763483/261 |
j-invariant |
L |
6.5241695122159 |
L(r)(E,1)/r! |
Ω |
0.22411040001725 |
Real period |
R |
29.111408982866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31581c2 10527h2 |
Quadratic twists by: -3 -11 |