Atkin-Lehner |
2+ 3- 7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038q |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1148928 |
Modular degree for the optimal curve |
Δ |
-196323546113114112 = -1 · 217 · 314 · 73 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-366597,88145365] |
[a1,a2,a3,a4,a6] |
Generators |
[287:-2695:1] |
Generators of the group modulo torsion |
j |
-7474180299610956625/269305275875328 |
j-invariant |
L |
4.8413526986797 |
L(r)(E,1)/r! |
Ω |
0.31607390214445 |
Real period |
R |
1.2764295058164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38346n1 |
Quadratic twists by: -3 |