Atkin-Lehner |
2+ 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12090d |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
156686400 = 26 · 35 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2053,34957] |
[a1,a2,a3,a4,a6] |
j |
957681397954009/156686400 |
j-invariant |
L |
1.7637518233786 |
L(r)(E,1)/r! |
Ω |
1.7637518233786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96720da1 36270bz1 60450cj1 |
Quadratic twists by: -4 -3 5 |