Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210by |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
147852000 = 25 · 33 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2033,35777] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-20:1] [-5:216:1] |
Generators of the group modulo torsion |
j |
25128603243/4000 |
j-invariant |
L |
16.505789904209 |
L(r)(E,1)/r! |
Ω |
1.7713593160624 |
Real period |
R |
0.93181489232835 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210i2 123210j1 |
Quadratic twists by: -3 37 |