Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200ch |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
50336000000000 = 214 · 59 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64208,-6274412] |
[a1,a2,a3,a4,a6] |
j |
3659383421/6292 |
j-invariant |
L |
1.1997936230509 |
L(r)(E,1)/r! |
Ω |
0.29994840592748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150u1 57200cm1 |
Quadratic twists by: -4 5 |