Atkin-Lehner |
3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18315c |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-520635532763671875 = -1 · 39 · 511 · 114 · 37 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 11+ -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-127143,-38854411] |
[a1,a2,a3,a4,a6] |
j |
-11548079990304768/26451025390625 |
j-invariant |
L |
0.47264923063165 |
L(r)(E,1)/r! |
Ω |
0.11816230765791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18315h1 91575d1 |
Quadratic twists by: -3 5 |