Atkin-Lehner |
2+ 3- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150z |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1426965750000 = -1 · 24 · 32 · 56 · 73 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,174,-57452] |
[a1,a2,a3,a4,a6] |
Generators |
[41:117:1] |
Generators of the group modulo torsion |
j |
37595375/91325808 |
j-invariant |
L |
4.7410478111237 |
L(r)(E,1)/r! |
Ω |
0.39564572162716 |
Real period |
R |
2.9957658783799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1806j1 |
Quadratic twists by: 5 |