Atkin-Lehner |
2+ 3+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354c |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
-1060911710208 = -1 · 218 · 33 · 73 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-737,49845] |
[a1,a2,a3,a4,a6] |
Generators |
[34:239:1] |
Generators of the group modulo torsion |
j |
-44365623586201/1060911710208 |
j-invariant |
L |
1.5495010801449 |
L(r)(E,1)/r! |
Ω |
0.73267662749401 |
Real period |
R |
1.0574249416449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062be1 128478bl1 |
Quadratic twists by: -3 -7 |