Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752bk |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
-10482048750384 = -1 · 24 · 318 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2886,143885] |
[a1,a2,a3,a4,a6] |
Generators |
[-97590:642653:3375] |
Generators of the group modulo torsion |
j |
227910944768/898666731 |
j-invariant |
L |
9.7416527818438 |
L(r)(E,1)/r! |
Ω |
0.51460139879735 |
Real period |
R |
9.4652412707711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40584b1 |
Quadratic twists by: -3 |