Atkin-Lehner |
3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305m |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
64895015025 = 38 · 52 · 172 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1022,3044] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:97:1] |
Generators of the group modulo torsion |
j |
161789533849/89019225 |
j-invariant |
L |
3.7117235937905 |
L(r)(E,1)/r! |
Ω |
0.9584527174502 |
Real period |
R |
1.9363102249138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9435g2 |
Quadratic twists by: -3 |