Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525be |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35314453125 = 32 · 59 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27388,1742267] |
[a1,a2,a3,a4,a6] |
Generators |
[101:44:1] |
Generators of the group modulo torsion |
j |
1163256858413/18081 |
j-invariant |
L |
3.7730010537936 |
L(r)(E,1)/r! |
Ω |
1.0619653547073 |
Real period |
R |
1.7764237962516 |
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 |
64575bn2 21525o2 |
Quadratic twists by: -3 5 |