Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3900c |
Isogeny class |
Conductor |
3900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
2369250000 = 24 · 36 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,162] |
[a1,a2,a3,a4,a6] |
j |
16384000/9477 |
j-invariant |
L |
1.2308656154348 |
L(r)(E,1)/r! |
Ω |
1.2308656154348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600ce1 62400cz1 11700j1 156b1 |
Quadratic twists by: -4 8 -3 5 |