Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262c |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5716797513066432 = 26 · 32 · 138 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56970,-3786732] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:1270:1] |
Generators of the group modulo torsion |
j |
1680702219767375/469860895296 |
j-invariant |
L |
2.8159944458407 |
L(r)(E,1)/r! |
Ω |
0.31555294537107 |
Real period |
R |
0.5577499923458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bk2 41262b2 |
Quadratic twists by: -3 -23 |