Atkin-Lehner |
3+ 5+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56115a |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
32902785308025 = 39 · 52 · 292 · 433 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43418,3482056] |
[a1,a2,a3,a4,a6] |
Generators |
[-1922:1363:8] [88:-625:1] |
Generators of the group modulo torsion |
j |
459867253378203/1671634675 |
j-invariant |
L |
5.6847159158826 |
L(r)(E,1)/r! |
Ω |
0.65929215762648 |
Real period |
R |
1.4370755691338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115b1 |
Quadratic twists by: -3 |