Atkin-Lehner |
2- 3+ 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510u |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
281088 |
Modular degree for the optimal curve |
Δ |
-1158062295780 = -1 · 22 · 39 · 5 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14528,679591] |
[a1,a2,a3,a4,a6] |
Generators |
[13:695:1] |
Generators of the group modulo torsion |
j |
-17227485284283/58835660 |
j-invariant |
L |
8.8268242306909 |
L(r)(E,1)/r! |
Ω |
0.87116562357952 |
Real period |
R |
0.63326249092457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510b1 |
Quadratic twists by: -3 |