Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
23312c |
Isogeny class |
Conductor |
23312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
81792 |
Modular degree for the optimal curve |
Δ |
6591514624 = 211 · 31 · 473 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 2 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-415152,-103096204] |
[a1,a2,a3,a4,a6] |
Generators |
[-2171430:1457:5832] |
Generators of the group modulo torsion |
j |
3863813978842917986/3218513 |
j-invariant |
L |
5.2636744643601 |
L(r)(E,1)/r! |
Ω |
0.18808219472009 |
Real period |
R |
4.6643387945303 |
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 |
11656c1 93248bm1 |
Quadratic twists by: -4 8 |