Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dp |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3.969663722115E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40564125,-98976920625] |
[a1,a2,a3,a4,a6] |
Generators |
[-31823169485986586934271999161115742734:146210397547506002518459062539400544729:8983865626411084299604002404336831] |
Generators of the group modulo torsion |
j |
60003797858807040/322687697779 |
j-invariant |
L |
7.1542466485563 |
L(r)(E,1)/r! |
Ω |
0.059841798672416 |
Real period |
R |
59.776333660356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100g2 68400dq1 68400dd2 |
Quadratic twists by: -4 -3 5 |