Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450be |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-82637107200 = -1 · 212 · 39 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,970,7237] |
[a1,a2,a3,a4,a6] |
Generators |
[25:203:1] |
Generators of the group modulo torsion |
j |
205318125/167936 |
j-invariant |
L |
6.9839514307598 |
L(r)(E,1)/r! |
Ω |
0.69816202366062 |
Real period |
R |
0.41680579352611 |
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 |
18450b1 18450f1 |
Quadratic twists by: -3 5 |