Atkin-Lehner |
2+ 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280b |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
379890000 = 24 · 34 · 54 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231,-900] |
[a1,a2,a3,a4,a6] |
j |
85569378304/23743125 |
j-invariant |
L |
2.499586910168 |
L(r)(E,1)/r! |
Ω |
1.2497934544182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560o1 |
Quadratic twists by: -4 |