Atkin-Lehner |
2+ 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354n |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-524025728167968768 = -1 · 217 · 3 · 78 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 -3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,166778,22943576] |
[a1,a2,a3,a4,a6] |
Generators |
[378:11644:1] |
Generators of the group modulo torsion |
j |
513031155467130765863/524025728167968768 |
j-invariant |
L |
3.8609344687884 |
L(r)(E,1)/r! |
Ω |
0.19345413617088 |
Real period |
R |
0.83157834056726 |
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 |
55062bm1 128478m1 |
Quadratic twists by: -3 -7 |