Atkin-Lehner |
2+ 5- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15470g |
Isogeny class |
Conductor |
15470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-506920960 = -1 · 216 · 5 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,76,-1072] |
[a1,a2,a3,a4,a6] |
j |
48188806119/506920960 |
j-invariant |
L |
1.6290527813692 |
L(r)(E,1)/r! |
Ω |
0.81452639068458 |
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 |
123760bw1 77350bc1 108290d1 |
Quadratic twists by: -4 5 -7 |