Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114708a |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
4129488 = 24 · 33 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2273,-40962] |
[a1,a2,a3,a4,a6] |
Generators |
[4922:121609:8] |
Generators of the group modulo torsion |
j |
671131648000/2133 |
j-invariant |
L |
5.428634780262 |
L(r)(E,1)/r! |
Ω |
0.69140713589865 |
Real period |
R |
7.8515746640943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054279 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708d1 |
Quadratic twists by: -11 |