Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41772d |
Isogeny class |
Conductor |
41772 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5522400 |
Modular degree for the optimal curve |
Δ |
-1.0598516996442E+22 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 2 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149447452,703270539256] |
[a1,a2,a3,a4,a6] |
Generators |
[6862:28746:1] |
Generators of the group modulo torsion |
j |
-2821169488/81 |
j-invariant |
L |
3.8488318481728 |
L(r)(E,1)/r! |
Ω |
0.11934283343934 |
Real period |
R |
5.3750355694506 |
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 |
125316k1 41772e1 |
Quadratic twists by: -3 -59 |