Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32490k |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-74286104741334000 = -1 · 24 · 37 · 53 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56925,14131125] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-3451:1] |
Generators of the group modulo torsion |
j |
-594823321/2166000 |
j-invariant |
L |
3.5966532253485 |
L(r)(E,1)/r! |
Ω |
0.3016864558454 |
Real period |
R |
1.4902281639019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830be1 1710p1 |
Quadratic twists by: -3 -19 |