Atkin-Lehner |
3+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945g |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
401527371828515625 = 34 · 58 · 74 · 114 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-696730,221467550] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:21153:1] |
Generators of the group modulo torsion |
j |
37403934156888280117921/401527371828515625 |
j-invariant |
L |
2.5302078177286 |
L(r)(E,1)/r! |
Ω |
0.30090694134573 |
Real period |
R |
1.0510757106553 |
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 |
65835n3 109725bv3 |
Quadratic twists by: -3 5 |