Atkin-Lehner |
2+ 3- 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038j |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
3770273862254592 = 218 · 38 · 74 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-406413,99781861] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:12619:1] |
Generators of the group modulo torsion |
j |
10183558415020723153/5171843432448 |
j-invariant |
L |
2.4804231155119 |
L(r)(E,1)/r! |
Ω |
0.43615375557515 |
Real period |
R |
1.4217595718326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38346j1 |
Quadratic twists by: -3 |