Atkin-Lehner |
2+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
3650c |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
45625000000000 = 29 · 513 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -3 6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10126,-220352] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/2920000000 |
j-invariant |
L |
1.9700244728324 |
L(r)(E,1)/r! |
Ω |
0.4925061182081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29200w1 116800p1 32850bx1 730j1 |
Quadratic twists by: -4 8 -3 5 |