Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bn |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
Δ |
-1.1439404790065E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4651979495,122126226227615] |
[a1,a2,a3,a4,a6] |
Generators |
[9315:8917294:1] |
Generators of the group modulo torsion |
j |
-15272479788155933667677058147625/15691913292270272512 |
j-invariant |
L |
9.9881220401177 |
L(r)(E,1)/r! |
Ω |
0.080312126657824 |
Real period |
R |
4.1455433343943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5278c3 |
Quadratic twists by: -3 |