Atkin-Lehner |
5- 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
120175n |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
641600 |
Modular degree for the optimal curve |
Δ |
-1223541107421875 = -1 · 59 · 11 · 195 · 23 |
Discriminant |
Eigenvalues |
2 1 5- 2 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-46208,-4192631] |
[a1,a2,a3,a4,a6] |
Generators |
[96122447605751928805919251488618844:47662268766053369475890443946324391:383705143429576597047568492779968] |
Generators of the group modulo torsion |
j |
-5586690166784/626453047 |
j-invariant |
L |
17.323841272496 |
L(r)(E,1)/r! |
Ω |
0.16179134531403 |
Real period |
R |
53.537601899755 |
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 |
120175o1 |
Quadratic twists by: 5 |