Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331b |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5245736013 = 310 · 74 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1859,31110] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:225:1] |
Generators of the group modulo torsion |
j |
974126411497/7195797 |
j-invariant |
L |
2.1948025739846 |
L(r)(E,1)/r! |
Ω |
1.3673244537717 |
Real period |
R |
0.80259025863629 |
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 |
37296co4 777a3 58275q4 16317j3 |
Quadratic twists by: -4 -3 5 -7 |