Atkin-Lehner |
3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21525b |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
216301025390625 = 32 · 512 · 74 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-460400,120046875] |
[a1,a2,a3,a4,a6] |
Generators |
[374:401:1] |
Generators of the group modulo torsion |
j |
690734431140542209/13843265625 |
j-invariant |
L |
4.3911397894558 |
L(r)(E,1)/r! |
Ω |
0.51705123555798 |
Real period |
R |
2.1231647308207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64575t1 4305h1 |
Quadratic twists by: -3 5 |