Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042di |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
2097727632 = 24 · 35 · 73 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-358,1364] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-112:1] |
Generators of the group modulo torsion |
j |
14796346375/6115824 |
j-invariant |
L |
11.023486337231 |
L(r)(E,1)/r! |
Ω |
1.3294273430374 |
Real period |
R |
0.41459529153505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126bp1 42042cm1 |
Quadratic twists by: -3 -7 |