Atkin-Lehner |
3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315u |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
10199165625 = 36 · 55 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11- 6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21647,1231246] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1244:1] |
Generators of the group modulo torsion |
j |
1538758717863849/13990625 |
j-invariant |
L |
3.5145520179451 |
L(r)(E,1)/r! |
Ω |
1.1598869458807 |
Real period |
R |
0.6060163070939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2035a1 91575bc1 |
Quadratic twists by: -3 5 |