Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708g |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
3204432 = 24 · 32 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1224] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:51:1] |
Generators of the group modulo torsion |
j |
79082438656/200277 |
j-invariant |
L |
4.2376690735562 |
L(r)(E,1)/r! |
Ω |
2.5272258338834 |
Real period |
R |
0.55893554858194 |
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 |
62832bg1 47124l1 109956s1 |
Quadratic twists by: -4 -3 -7 |