Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240dg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
56827688400000000 = 210 · 35 · 58 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243101,-44767485] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:1071:1] |
Generators of the group modulo torsion |
j |
1551621461335545856/55495789453125 |
j-invariant |
L |
9.1599040740574 |
L(r)(E,1)/r! |
Ω |
0.2154797956918 |
Real period |
R |
2.1254670467835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999718841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240gm1 14280k1 |
Quadratic twists by: -4 8 |