Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15960i |
Isogeny class |
Conductor |
15960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
478800 = 24 · 32 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9975,-386802] |
[a1,a2,a3,a4,a6] |
j |
6860977263302656/29925 |
j-invariant |
L |
3.8217096378172 |
L(r)(E,1)/r! |
Ω |
0.47771370472715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920k1 127680d1 47880be1 79800bh1 |
Quadratic twists by: -4 8 -3 5 |