Atkin-Lehner |
2+ 3- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15438d |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15264 |
Modular degree for the optimal curve |
Δ |
-62728175616 = -1 · 218 · 3 · 312 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 3 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,857,-7126] |
[a1,a2,a3,a4,a6] |
j |
69725950582679/62728175616 |
j-invariant |
L |
2.4285455076568 |
L(r)(E,1)/r! |
Ω |
0.6071363769142 |
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 |
123504bb1 46314bb1 |
Quadratic twists by: -4 -3 |