Atkin-Lehner |
2- 3- 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dy |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
32019685834752000 = 228 · 36 · 53 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79832,-1100069] |
[a1,a2,a3,a4,a6] |
Generators |
[301:1289:1] [-131:2729:1] |
Generators of the group modulo torsion |
j |
77183081315031609/43922751488000 |
j-invariant |
L |
17.778522259317 |
L(r)(E,1)/r! |
Ω |
0.30700394268895 |
Real period |
R |
1.3788036250776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090b1 |
Quadratic twists by: -3 |