Atkin-Lehner |
5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3145c |
Isogeny class |
Conductor |
3145 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-132234504150390625 = -1 · 512 · 172 · 374 |
Discriminant |
Eigenvalues |
-1 0 5- -4 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-444097,-115135406] |
[a1,a2,a3,a4,a6] |
j |
-9686264265850369562721/132234504150390625 |
j-invariant |
L |
0.55436873324204 |
L(r)(E,1)/r! |
Ω |
0.092394788873674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50320t3 28305g3 15725d4 53465d3 |
Quadratic twists by: -4 -3 5 17 |