Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72618cj |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-7516987785216 = -1 · 216 · 36 · 72 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,293,131921] |
[a1,a2,a3,a4,a6] |
Generators |
[62:593:1] |
Generators of the group modulo torsion |
j |
56759407103/153407913984 |
j-invariant |
L |
10.180921240181 |
L(r)(E,1)/r! |
Ω |
0.58275226973776 |
Real period |
R |
0.090991720174118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72618bj1 |
Quadratic twists by: -7 |