Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18490c |
Isogeny class |
Conductor |
18490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
520128 |
Modular degree for the optimal curve |
Δ |
-239374341685268480 = -1 · 212 · 5 · 438 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 4 -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2655203,-1665695714] |
[a1,a2,a3,a4,a6] |
j |
-177120578761/20480 |
j-invariant |
L |
2.956733198691 |
L(r)(E,1)/r! |
Ω |
0.059134663973819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92450v1 18490j1 |
Quadratic twists by: 5 -43 |