Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275l |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
161139346618359375 = 316 · 58 · 7 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167855,-18058728] |
[a1,a2,a3,a4,a6] |
Generators |
[4894:80655:8] |
Generators of the group modulo torsion |
j |
45917324980129/14146664175 |
j-invariant |
L |
4.1196539863638 |
L(r)(E,1)/r! |
Ω |
0.24153670644814 |
Real period |
R |
4.2640040589908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990372 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19425b2 11655n2 |
Quadratic twists by: -3 5 |