Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400ca |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
493807104000 = 212 · 39 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6060,178400] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:252:1] [-20:540:1] |
Generators of the group modulo torsion |
j |
65939264/1323 |
j-invariant |
L |
9.626316173122 |
L(r)(E,1)/r! |
Ω |
0.93135189404265 |
Real period |
R |
0.64599080612668 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400ed2 100800ig1 16800bn2 50400ee2 |
Quadratic twists by: -4 8 -3 5 |