Atkin-Lehner |
2- 3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642l |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1062912 |
Modular degree for the optimal curve |
Δ |
-490060685568848832 = -1 · 26 · 322 · 23 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -2 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111713,36646769] |
[a1,a2,a3,a4,a6] |
Generators |
[222:46235:8] |
Generators of the group modulo torsion |
j |
-211496742846707401/672236880067008 |
j-invariant |
L |
13.066758601663 |
L(r)(E,1)/r! |
Ω |
0.25879537015814 |
Real period |
R |
4.20755807754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14214d1 |
Quadratic twists by: -3 |