Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331a |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
45881073 = 311 · 7 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11804,496550] |
[a1,a2,a3,a4,a6] |
Generators |
[-7500:36361:64] |
Generators of the group modulo torsion |
j |
249487788397177/62937 |
j-invariant |
L |
2.2162519074875 |
L(r)(E,1)/r! |
Ω |
1.6110839820158 |
Real period |
R |
5.5025111843381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296cm1 777e1 58275o1 16317i1 |
Quadratic twists by: -4 -3 5 -7 |