Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618cg |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
59640900137674128 = 24 · 39 · 79 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1837158,958221396] |
[a1,a2,a3,a4,a6] |
Generators |
[102:27732:1] |
Generators of the group modulo torsion |
j |
16993423924132375/1477957104 |
j-invariant |
L |
12.262517703936 |
L(r)(E,1)/r! |
Ω |
0.33553827335924 |
Real period |
R |
1.0151613654144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72618bm1 |
Quadratic twists by: -7 |