Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200ck |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6610248000000000 = -1 · 212 · 34 · 59 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27208,-4267088] |
[a1,a2,a3,a4,a6] |
Generators |
[670690:16695153:1000] |
Generators of the group modulo torsion |
j |
-278445077/826281 |
j-invariant |
L |
6.9958978718478 |
L(r)(E,1)/r! |
Ω |
0.17188690564867 |
Real period |
R |
10.175146521997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7575g2 121200dt2 |
Quadratic twists by: -4 5 |