Atkin-Lehner |
2+ 3- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
34542a |
Isogeny class |
Conductor |
34542 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-408057219288 = -1 · 23 · 36 · 193 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 2 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,612,30024] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1499:1] |
Generators of the group modulo torsion |
j |
34741712447/559749272 |
j-invariant |
L |
3.8549574209419 |
L(r)(E,1)/r! |
Ω |
0.70362124194585 |
Real period |
R |
2.7393697000116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3838a1 |
Quadratic twists by: -3 |