Atkin-Lehner |
2+ 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600c |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-7508700000000000 = -1 · 211 · 36 · 511 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -5 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-135008,19588512] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:33750:1] |
Generators of the group modulo torsion |
j |
-8504630737202/234646875 |
j-invariant |
L |
6.8888153107016 |
L(r)(E,1)/r! |
Ω |
0.41626021466258 |
Real period |
R |
1.0343312710418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800r1 24720e1 |
Quadratic twists by: -4 5 |