Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440ca |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
160387184160000 = 28 · 33 · 54 · 75 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-270087,54022666] |
[a1,a2,a3,a4,a6] |
Generators |
[8859:-23030:27] [-403:9870:1] |
Generators of the group modulo torsion |
j |
315232528504776048/23204164375 |
j-invariant |
L |
12.947694553202 |
L(r)(E,1)/r! |
Ω |
0.54743947683384 |
Real period |
R |
0.29564214638618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440e2 |
Quadratic twists by: -3 |