Atkin-Lehner |
2+ 3+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
37488a |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
16194816 = 28 · 34 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 11+ -5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121,517] |
[a1,a2,a3,a4,a6] |
Generators |
[4:9:1] |
Generators of the group modulo torsion |
j |
771656704/63261 |
j-invariant |
L |
4.2909110479749 |
L(r)(E,1)/r! |
Ω |
2.1505067206917 |
Real period |
R |
0.99765115976767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18744l1 112464k1 |
Quadratic twists by: -4 -3 |