Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305g |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1302406898765625 = 36 · 56 · 174 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4009875,3091613336] |
[a1,a2,a3,a4,a6] |
Generators |
[8366:47099:8] |
Generators of the group modulo torsion |
j |
9781123632539052158001/1786566390625 |
j-invariant |
L |
3.2154177714365 |
L(r)(E,1)/r! |
Ω |
0.3807491269803 |
Real period |
R |
4.2224886987106 |
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 |
3145c2 |
Quadratic twists by: -3 |