Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042r |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2220742524 = -1 · 22 · 3 · 76 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-319,3025] |
[a1,a2,a3,a4,a6] |
Generators |
[0:55:1] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
4.1648112333605 |
L(r)(E,1)/r! |
Ω |
1.3522319051982 |
Real period |
R |
1.5399766923639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126eu1 858c1 |
Quadratic twists by: -3 -7 |