Atkin-Lehner |
3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475i |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29145102486328125 = 39 · 59 · 11 · 413 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11- -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-76950,-193219] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:1687:1] [-5:437:1] |
Generators of the group modulo torsion |
j |
163846914048/94766375 |
j-invariant |
L |
8.9347383852257 |
L(r)(E,1)/r! |
Ω |
0.31389701686121 |
Real period |
R |
3.5579895253269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475g1 20295b2 |
Quadratic twists by: -3 5 |