Atkin-Lehner |
3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675l |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2665412578125 = 34 · 57 · 112 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54338,4870167] |
[a1,a2,a3,a4,a6] |
Generators |
[142:-221:1] [1:2194:1] |
Generators of the group modulo torsion |
j |
1135573198803289/170586405 |
j-invariant |
L |
6.9106082324816 |
L(r)(E,1)/r! |
Ω |
0.78190294443264 |
Real period |
R |
1.1047739814906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735a2 |
Quadratic twists by: 5 |