Atkin-Lehner |
2+ 3+ 13+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362a |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-80291952 = -1 · 24 · 33 · 13 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102,612] |
[a1,a2,a3,a4,a6] |
Generators |
[4:14:1] |
Generators of the group modulo torsion |
j |
-4370722875/2973776 |
j-invariant |
L |
6.0800683263578 |
L(r)(E,1)/r! |
Ω |
1.777292207361 |
Real period |
R |
1.710486410734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115362j1 |
Quadratic twists by: -3 |