Atkin-Lehner |
2- 3- 7- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
115038be |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
351360 |
Modular degree for the optimal curve |
Δ |
-3683501459946 = -1 · 2 · 39 · 7 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10364,-413863] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:5987:8] |
Generators of the group modulo torsion |
j |
-168864792631417/5052814074 |
j-invariant |
L |
8.7722887006299 |
L(r)(E,1)/r! |
Ω |
0.23617049461972 |
Real period |
R |
1.8571940421296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38346e1 |
Quadratic twists by: -3 |