Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
46128t |
Isogeny class |
Conductor |
46128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3.9925981609339E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 3 -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1284216,-636902928] |
[a1,a2,a3,a4,a6] |
Generators |
[1364:12136:1] |
Generators of the group modulo torsion |
j |
-64432972729/10983114 |
j-invariant |
L |
3.4059148541358 |
L(r)(E,1)/r! |
Ω |
0.070255798233152 |
Real period |
R |
6.0598465531801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5766e1 1488n1 |
Quadratic twists by: -4 -31 |