Atkin-Lehner |
2+ 3- 5- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530o |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
7718885280000 = 28 · 310 · 54 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96174,-11455020] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:117:1] |
Generators of the group modulo torsion |
j |
134949649760741089/10588320000 |
j-invariant |
L |
5.1520956836389 |
L(r)(E,1)/r! |
Ω |
0.27110465069766 |
Real period |
R |
2.3755105591127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510p1 |
Quadratic twists by: -3 |