Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312a |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
206976 |
Modular degree for the optimal curve |
Δ |
37388165508916048 = 24 · 19 · 1037 |
Discriminant |
Eigenvalues |
2+ -1 0 -3 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161483,23233606] |
[a1,a2,a3,a4,a6] |
Generators |
[2410:10837:8] |
Generators of the group modulo torsion |
j |
29106289592608000000/2336760344307253 |
j-invariant |
L |
2.5294792678128 |
L(r)(E,1)/r! |
Ω |
0.35685438022139 |
Real period |
R |
7.0882673942337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15656g1 125248bf1 |
Quadratic twists by: -4 8 |