Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bp |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
26642441431265625 = 38 · 56 · 76 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164282,24437256] |
[a1,a2,a3,a4,a6] |
Generators |
[416:-5496:1] |
Generators of the group modulo torsion |
j |
5717095008841/310640625 |
j-invariant |
L |
3.8354770862166 |
L(r)(E,1)/r! |
Ω |
0.37030444002666 |
Real period |
R |
0.86313599347783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933167 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34545b2 2115e2 |
Quadratic twists by: -3 -7 |