Atkin-Lehner |
2- 3+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18972b |
Isogeny class |
Conductor |
18972 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
235649486230992 = 24 · 39 · 176 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44496,-3536379] |
[a1,a2,a3,a4,a6] |
Generators |
[-3435:6902:27] |
Generators of the group modulo torsion |
j |
30936797282304/748264639 |
j-invariant |
L |
4.4201375634597 |
L(r)(E,1)/r! |
Ω |
0.3291997094526 |
Real period |
R |
4.4756393930901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75888r1 18972a1 |
Quadratic twists by: -4 -3 |