Atkin-Lehner |
3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18291a |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151360 |
Modular degree for the optimal curve |
Δ |
459384099367011273 = 322 · 75 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-245928,33663600] |
[a1,a2,a3,a4,a6] |
Generators |
[85261560:-13592047088:3375] |
Generators of the group modulo torsion |
j |
1644931268752571178625/459384099367011273 |
j-invariant |
L |
2.1477226649207 |
L(r)(E,1)/r! |
Ω |
0.27607778360814 |
Real period |
R |
15.558822856744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54873i1 128037j1 |
Quadratic twists by: -3 -7 |