Atkin-Lehner |
2+ 3+ 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378d |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-54172182456 = -1 · 23 · 39 · 73 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-474,-11764] |
[a1,a2,a3,a4,a6] |
j |
-599077107/2752232 |
j-invariant |
L |
2.7823813412637 |
L(r)(E,1)/r! |
Ω |
0.46373022287498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378bb1 |
Quadratic twists by: -3 |