Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
126480bj |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-70456442880 = -1 · 219 · 3 · 5 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -1 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416,13044] |
[a1,a2,a3,a4,a6] |
Generators |
[15:102:1] |
Generators of the group modulo torsion |
j |
-1948441249/17201280 |
j-invariant |
L |
8.2513421530427 |
L(r)(E,1)/r! |
Ω |
0.93688870691144 |
Real period |
R |
2.2017935863873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999623064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810m1 |
Quadratic twists by: -4 |