Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
36456h |
Isogeny class |
Conductor |
36456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1575555408 = 24 · 33 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13687,620908] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1029:1] |
Generators of the group modulo torsion |
j |
150651000832/837 |
j-invariant |
L |
5.9663477278236 |
L(r)(E,1)/r! |
Ω |
1.3353212595588 |
Real period |
R |
2.2340495536615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912v1 109368cb1 744b1 |
Quadratic twists by: -4 -3 -7 |