Atkin-Lehner |
3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525z |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1373598031640625 = -1 · 36 · 58 · 76 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18651,2033323] |
[a1,a2,a3,a4,a6] |
Generators |
[83:987:1] |
Generators of the group modulo torsion |
j |
-45917324980129/87910274025 |
j-invariant |
L |
7.0782622221714 |
L(r)(E,1)/r! |
Ω |
0.42883047099675 |
Real period |
R |
1.3754973703476 |
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 |
64575i2 4305c2 |
Quadratic twists by: -3 5 |