Atkin-Lehner |
5+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
114155d |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
-46842211216315 = -1 · 5 · 179 · 79 |
Discriminant |
Eigenvalues |
-2 0 5+ 2 2 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4913,354964] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:627:1] [578:4909:8] |
Generators of the group modulo torsion |
j |
-110592/395 |
j-invariant |
L |
6.1027332151093 |
L(r)(E,1)/r! |
Ω |
0.55780323348615 |
Real period |
R |
5.4703279289783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114155i1 |
Quadratic twists by: 17 |