Atkin-Lehner |
3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525j |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5241237890625 = 34 · 58 · 112 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17000,-853125] |
[a1,a2,a3,a4,a6] |
j |
34776859950721/335439225 |
j-invariant |
L |
3.3467777441912 |
L(r)(E,1)/r! |
Ω |
0.41834721802434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91575v2 6105l2 |
Quadratic twists by: -3 5 |