Atkin-Lehner |
3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66309c |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1408468341747 = 3 · 232 · 316 |
Discriminant |
Eigenvalues |
1 3+ 0 -2 -4 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14915,692598] |
[a1,a2,a3,a4,a6] |
Generators |
[-1122:2355:8] |
Generators of the group modulo torsion |
j |
413493625/1587 |
j-invariant |
L |
4.4318414524331 |
L(r)(E,1)/r! |
Ω |
0.85742533198777 |
Real period |
R |
5.1687783023954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69a2 |
Quadratic twists by: -31 |