Atkin-Lehner |
3- 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021h |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-2945525404689 = -1 · 37 · 74 · 23 · 293 |
Discriminant |
Eigenvalues |
1 3- 3 7- 5 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3843,124362] |
[a1,a2,a3,a4,a6] |
Generators |
[42:168:1] |
Generators of the group modulo torsion |
j |
-8611343303473/4040501241 |
j-invariant |
L |
9.5067164738919 |
L(r)(E,1)/r! |
Ω |
0.74938958636305 |
Real period |
R |
1.5857433581432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007k1 |
Quadratic twists by: -3 |