Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
29200bb |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
4784128000000000 = 225 · 59 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -1 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73208,-6835088] |
[a1,a2,a3,a4,a6] |
j |
5423945093/598016 |
j-invariant |
L |
1.1692758539689 |
L(r)(E,1)/r! |
Ω |
0.29231896349215 |
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 |
3650e1 116800cv1 29200z1 |
Quadratic twists by: -4 8 5 |