Atkin-Lehner |
2+ 7- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121618d |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
158850620992 = 26 · 76 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21667,1232853] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-18:1] |
Generators of the group modulo torsion |
j |
9561875765625/1350208 |
j-invariant |
L |
3.3759522260739 |
L(r)(E,1)/r! |
Ω |
0.98783663284458 |
Real period |
R |
1.7087603683109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000144946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2482a1 |
Quadratic twists by: -7 |