Atkin-Lehner |
2+ 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042o |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-634657959936 = -1 · 212 · 35 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1551,44325] |
[a1,a2,a3,a4,a6] |
Generators |
[14:153:1] |
Generators of the group modulo torsion |
j |
-1204210547119/1850314752 |
j-invariant |
L |
3.0184930134181 |
L(r)(E,1)/r! |
Ω |
0.81895677798421 |
Real period |
R |
1.8428890843583 |
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 |
126126fx1 42042bc1 |
Quadratic twists by: -3 -7 |