Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200bv |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
29417472 |
Modular degree for the optimal curve |
Δ |
-2.3522280553841E+28 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 13- 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-427929008,8127821720512] |
[a1,a2,a3,a4,a6] |
j |
-135412551115258010417641/367535633653760000000 |
j-invariant |
L |
2.1430841072801 |
L(r)(E,1)/r! |
Ω |
0.033485689225191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150q1 11440q1 |
Quadratic twists by: -4 5 |