Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160x |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
869369760000 = 28 · 34 · 54 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2556,-22356] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:168:1] [-10:48:1] |
Generators of the group modulo torsion |
j |
7216659188944/3395975625 |
j-invariant |
L |
11.157177216933 |
L(r)(E,1)/r! |
Ω |
0.70290740195298 |
Real period |
R |
3.9682244012271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31080a2 |
Quadratic twists by: -4 |