Atkin-Lehner |
2+ 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550c |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-276780796875000000 = -1 · 26 · 36 · 512 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,11250,25312500] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:3610:1] [-125:4750:1] |
Generators of the group modulo torsion |
j |
10076296384799/17713971000000 |
j-invariant |
L |
6.3464608811656 |
L(r)(E,1)/r! |
Ω |
0.24220941148938 |
Real period |
R |
3.2752963861796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510q2 |
Quadratic twists by: 5 |