Atkin-Lehner |
2+ 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130w |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-10023358229740800 = -1 · 28 · 33 · 52 · 76 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5807,-4822299] |
[a1,a2,a3,a4,a6] |
j |
-184122897769/85197139200 |
j-invariant |
L |
2.1957731176176 |
L(r)(E,1)/r! |
Ω |
0.1829811601705 |
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 |
2370d1 |
Quadratic twists by: -7 |