Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050a |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-55199604188800 = -1 · 27 · 52 · 297 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 2 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33377,2382461] |
[a1,a2,a3,a4,a6] |
Generators |
[805:21884:1] |
Generators of the group modulo torsion |
j |
-276531705/3712 |
j-invariant |
L |
4.1931829543298 |
L(r)(E,1)/r! |
Ω |
0.6307086250009 |
Real period |
R |
3.3241839322554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42050bg1 1450g1 |
Quadratic twists by: 5 29 |