Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296co |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21486534709248 = 212 · 310 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29739,-1961318] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:112:1] |
Generators of the group modulo torsion |
j |
974126411497/7195797 |
j-invariant |
L |
7.4824551025164 |
L(r)(E,1)/r! |
Ω |
0.36371512117067 |
Real period |
R |
1.2857684948651 |
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 |
2331b3 12432bz3 |
Quadratic twists by: -4 -3 |