Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030o |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
20605640625000000 = 26 · 39 · 512 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1125038,-458969219] |
[a1,a2,a3,a4,a6] |
Generators |
[-16611:13297:27] |
Generators of the group modulo torsion |
j |
8000804026934300763/1046875000000 |
j-invariant |
L |
5.7702319201221 |
L(r)(E,1)/r! |
Ω |
0.14659231278061 |
Real period |
R |
6.5604075805778 |
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 |
48240bc3 6030b1 30150d3 |
Quadratic twists by: -4 -3 5 |