Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5175k |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-28923075 = -1 · 37 · 52 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -2 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1020,12541] |
[a1,a2,a3,a4,a6] |
Generators |
[31:103:1] |
Generators of the group modulo torsion |
j |
-6439567360/1587 |
j-invariant |
L |
2.7946883165015 |
L(r)(E,1)/r! |
Ω |
2.0458442339507 |
Real period |
R |
0.17075397714326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800df1 1725b1 5175o1 119025u1 |
Quadratic twists by: -4 -3 5 -23 |