Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gr |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[117:1152:1] |
Generators of the group modulo torsion |
j |
-656008386769/1581036975 |
j-invariant |
L |
5.8371695234091 |
L(r)(E,1)/r! |
Ω |
0.47051324197907 |
Real period |
R |
3.101490570461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240em1 28560de1 |
Quadratic twists by: -4 8 |