Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21525k |
Isogeny class |
Conductor |
21525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2758941650390625 = -1 · 32 · 516 · 72 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28713,-3157344] |
[a1,a2,a3,a4,a6] |
Generators |
[214:638:1] |
Generators of the group modulo torsion |
j |
-167548422911689/176572265625 |
j-invariant |
L |
3.0011508765279 |
L(r)(E,1)/r! |
Ω |
0.17600654002137 |
Real period |
R |
4.2628400003822 |
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 |
64575ba2 4305f2 |
Quadratic twists by: -3 5 |