Atkin-Lehner |
2+ 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
45650p |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-251075000000 = -1 · 26 · 58 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- 0 11- -4 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1701,36048] |
[a1,a2,a3,a4,a6] |
Generators |
[27:86:1] [-42:1711:8] |
Generators of the group modulo torsion |
j |
-1392225385/642752 |
j-invariant |
L |
8.0031031737125 |
L(r)(E,1)/r! |
Ω |
0.92055473236017 |
Real period |
R |
0.72448192489986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650w1 |
Quadratic twists by: 5 |