Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912w |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
588672 |
Modular degree for the optimal curve |
Δ |
60526536553728 = 28 · 33 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 5 -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425777,106792923] |
[a1,a2,a3,a4,a6] |
Generators |
[10074:2897:27] |
Generators of the group modulo torsion |
j |
118045914112/837 |
j-invariant |
L |
10.324646287215 |
L(r)(E,1)/r! |
Ω |
0.55816354476817 |
Real period |
R |
6.1658429588251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456u1 72912b1 |
Quadratic twists by: -4 -7 |