Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315b |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
481062410928225 = 34 · 52 · 710 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65538,-6398433] |
[a1,a2,a3,a4,a6] |
Generators |
[7262:614881:1] |
Generators of the group modulo torsion |
j |
264621653112601/4088963025 |
j-invariant |
L |
4.3168345156252 |
L(r)(E,1)/r! |
Ω |
0.29866342357651 |
Real period |
R |
7.2269219711121 |
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 |
63945bc2 106575cf2 3045i2 |
Quadratic twists by: -3 5 -7 |