Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6600a |
Isogeny class |
Conductor |
6600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52707600000000 = 210 · 32 · 58 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121008,-16157988] |
[a1,a2,a3,a4,a6] |
Generators |
[6826:179075:8] |
Generators of the group modulo torsion |
j |
12247559771044/3294225 |
j-invariant |
L |
3.4490294953967 |
L(r)(E,1)/r! |
Ω |
0.2559780608454 |
Real period |
R |
6.7369630897387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13200u4 52800cq4 19800bh4 1320m3 |
Quadratic twists by: -4 8 -3 5 |