Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104ca |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8344272455025795072 = 213 · 310 · 297 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37484211,-88332421646] |
[a1,a2,a3,a4,a6] |
Generators |
[-6892903412798222049945:509088250625692457686:1948932690626832625] |
Generators of the group modulo torsion |
j |
3279392280793/4698 |
j-invariant |
L |
7.2192836842281 |
L(r)(E,1)/r! |
Ω |
0.061015124045212 |
Real period |
R |
29.579894555468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999197197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15138g4 40368bg4 4176bf3 |
Quadratic twists by: -4 -3 29 |