Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160bc |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
287490000 = 24 · 3 · 54 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-315,-2100] |
[a1,a2,a3,a4,a6] |
j |
216727177216/17968125 |
j-invariant |
L |
2.2778267365177 |
L(r)(E,1)/r! |
Ω |
1.1389133699737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080w1 |
Quadratic twists by: -4 |