Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800k |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-1222526876400000000 = -1 · 210 · 316 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723675,242851750] |
[a1,a2,a3,a4,a6] |
j |
-3593411145796/104811975 |
j-invariant |
L |
2.1770313150091 |
L(r)(E,1)/r! |
Ω |
0.27212904165508 |
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 |
42600bh1 25560i1 |
Quadratic twists by: -3 5 |