Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bk |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6602536682115155712 = -1 · 28 · 34 · 79 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,270268,111260988] |
[a1,a2,a3,a4,a6] |
j |
72489947189168/219221233623 |
j-invariant |
L |
2.6761752015416 |
L(r)(E,1)/r! |
Ω |
0.16726092989263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62328bf1 17808f1 |
Quadratic twists by: -4 -7 |