Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5950l |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-940378906250 = -1 · 2 · 59 · 72 · 173 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 6 7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1063,-48969] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/60184250 |
j-invariant |
L |
2.9660620117822 |
L(r)(E,1)/r! |
Ω |
0.37075775147278 |
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 |
47600y1 53550bk1 1190c1 41650cc1 |
Quadratic twists by: -4 -3 5 -7 |