Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21312bw |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
441925632 = 214 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 3 -5 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:29:1] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
3.8539671568803 |
L(r)(E,1)/r! |
Ω |
1.3819180781005 |
Real period |
R |
2.7888535637205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21312r1 5328w1 2368l1 |
Quadratic twists by: -4 8 -3 |