Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200bm |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-386683451000000 = -1 · 26 · 56 · 74 · 115 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11+ -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201783,34833563] |
[a1,a2,a3,a4,a6] |
j |
-908614343190016/386683451 |
j-invariant |
L |
2.1036898602529 |
L(r)(E,1)/r! |
Ω |
0.52592228999645 |
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 |
123200t1 61600o1 4928c1 |
Quadratic twists by: -4 8 5 |