Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240hg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-467358040719360000 = -1 · 228 · 34 · 54 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-107745,35633025] |
[a1,a2,a3,a4,a6] |
j |
-527690404915129/1782829440000 |
j-invariant |
L |
2.074931183654 |
L(r)(E,1)/r! |
Ω |
0.25936640908666 |
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 |
114240ed1 28560dk1 |
Quadratic twists by: -4 8 |