Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030o |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
31262416877606400 = 29 · 33 · 52 · 676 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-223598,-39740803] |
[a1,a2,a3,a4,a6] |
Generators |
[-275:1083:1] |
Generators of the group modulo torsion |
j |
45789075069653792547/1157867291763200 |
j-invariant |
L |
5.7702319201221 |
L(r)(E,1)/r! |
Ω |
0.21988846917092 |
Real period |
R |
4.3736050537185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
48240bc2 6030b4 30150d2 |
Quadratic twists by: -4 -3 5 |