Atkin-Lehner |
3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1845b |
Isogeny class |
Conductor |
1845 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-20175075 = -1 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 -3 4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-432,-3463] |
[a1,a2,a3,a4,a6] |
Generators |
[27:67:1] |
Generators of the group modulo torsion |
j |
-452984832/1025 |
j-invariant |
L |
2.5360842021331 |
L(r)(E,1)/r! |
Ω |
0.52352779502922 |
Real period |
R |
1.2110551847546 |
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 |
29520be1 118080f1 1845a1 9225f1 |
Quadratic twists by: -4 8 -3 5 |