Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45288a |
Isogeny class |
Conductor |
45288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-215521606656 = -1 · 210 · 39 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-891,-24570] |
[a1,a2,a3,a4,a6] |
Generators |
[3306:190080:1] |
Generators of the group modulo torsion |
j |
-3881196/10693 |
j-invariant |
L |
5.2384066150641 |
L(r)(E,1)/r! |
Ω |
0.40533792289154 |
Real period |
R |
6.461777099089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90576b1 45288i1 |
Quadratic twists by: -4 -3 |