Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904bx |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2806084049175576576 = 224 · 314 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6345377,-6149611455] |
[a1,a2,a3,a4,a6] |
Generators |
[-3260866932798776943:-1062903031001184060:2255667496513523] |
Generators of the group modulo torsion |
j |
107784459654566688937/10704361149504 |
j-invariant |
L |
5.4429699268172 |
L(r)(E,1)/r! |
Ω |
0.095123490804999 |
Real period |
R |
28.610019884444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35904x2 8976y2 107712dw2 |
Quadratic twists by: -4 8 -3 |