Atkin-Lehner |
2- 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15438k |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-904305674304 = -1 · 26 · 311 · 312 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 -3 -4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,61,-45727] |
[a1,a2,a3,a4,a6] |
j |
25076571983/904305674304 |
j-invariant |
L |
4.8969685448407 |
L(r)(E,1)/r! |
Ω |
0.40808071207006 |
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 |
123504bg1 46314m1 |
Quadratic twists by: -4 -3 |