Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920m |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
799998371424000000 = 211 · 39 · 56 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2791827,-1794965454] |
[a1,a2,a3,a4,a6] |
Generators |
[-953:350:1] |
Generators of the group modulo torsion |
j |
59699126465470854/19845765625 |
j-invariant |
L |
7.439616243783 |
L(r)(E,1)/r! |
Ω |
0.11679818473949 |
Real period |
R |
1.3270069677411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960e2 115920g2 |
Quadratic twists by: -4 -3 |