Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315c |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3744490606605 = 32 · 5 · 76 · 294 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12618,532323] |
[a1,a2,a3,a4,a6] |
Generators |
[78:135:1] |
Generators of the group modulo torsion |
j |
1888690601881/31827645 |
j-invariant |
L |
3.2718818533082 |
L(r)(E,1)/r! |
Ω |
0.78786153244362 |
Real period |
R |
1.0382160184798 |
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 |
63945be4 106575ch4 435c3 |
Quadratic twists by: -3 5 -7 |