Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bi |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-19185184286383104 = -1 · 210 · 37 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 11+ -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59631,-3585321] |
[a1,a2,a3,a4,a6] |
Generators |
[90:1587:1] |
Generators of the group modulo torsion |
j |
22899855913233152/18735531529671 |
j-invariant |
L |
7.1203610714926 |
L(r)(E,1)/r! |
Ω |
0.21387112021404 |
Real period |
R |
0.9512218739657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576cs1 6072f1 |
Quadratic twists by: -4 8 |