Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300w |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5.74224924735E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4968375,-4246931250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1229:1694:1] |
Generators of the group modulo torsion |
j |
1004692238171568/4253517961 |
j-invariant |
L |
7.0191176437332 |
L(r)(E,1)/r! |
Ω |
0.10114783203102 |
Real period |
R |
0.96381447915756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300t2 69300q2 |
Quadratic twists by: -3 5 |