Atkin-Lehner |
41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115169c |
Isogeny class |
Conductor |
115169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2122848 |
Modular degree for the optimal curve |
Δ |
80962266468705877 = 413 · 537 |
Discriminant |
Eigenvalues |
-2 -3 0 2 0 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-154495,18944598] |
[a1,a2,a3,a4,a6] |
Generators |
[318:1404:1] |
Generators of the group modulo torsion |
j |
18399744000/3652813 |
j-invariant |
L |
1.2183922419254 |
L(r)(E,1)/r! |
Ω |
0.32460041586705 |
Real period |
R |
0.93837848428302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000467579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2173b1 |
Quadratic twists by: 53 |