Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240em |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-414459356774400 = -1 · 218 · 312 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11585,-1094625] |
[a1,a2,a3,a4,a6] |
j |
-656008386769/1581036975 |
j-invariant |
L |
5.1511729519364 |
L(r)(E,1)/r! |
Ω |
0.2146322065054 |
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 |
114240gr1 1785c1 |
Quadratic twists by: -4 8 |