Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350s |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-514675673281000000 = -1 · 26 · 56 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-151817,41387341] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:6791:1] |
Generators of the group modulo torsion |
j |
-115538049/153664 |
j-invariant |
L |
3.8431912545059 |
L(r)(E,1)/r! |
Ω |
0.26477358808544 |
Real period |
R |
0.60479207951039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1694e1 42350bs1 |
Quadratic twists by: 5 -11 |