Atkin-Lehner |
2- 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31164c |
Isogeny class |
Conductor |
31164 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
645624 |
Modular degree for the optimal curve |
Δ |
-5.1135972705046E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,540454,-308374023] |
[a1,a2,a3,a4,a6] |
Generators |
[1552:65317:1] |
Generators of the group modulo torsion |
j |
189275678740736/554398719759 |
j-invariant |
L |
4.2207350593058 |
L(r)(E,1)/r! |
Ω |
0.10259481236705 |
Real period |
R |
4.5710943012134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124656dd1 93492e1 31164n1 |
Quadratic twists by: -4 -3 -7 |