Atkin-Lehner |
2- 3+ 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354t |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
4042752 |
Modular degree for the optimal curve |
Δ |
-3.4130495309772E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10025014,-89725079245] |
[a1,a2,a3,a4,a6] |
j |
-111423982835049208609221217/3413049530977153233911808 |
j-invariant |
L |
0.55162294830018 |
L(r)(E,1)/r! |
Ω |
0.034476434268762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
55062k1 128478cq1 |
Quadratic twists by: -3 -7 |