Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37400s |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
244800 |
Modular degree for the optimal curve |
Δ |
-427791718750000 = -1 · 24 · 510 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 5 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14583,1208912] |
[a1,a2,a3,a4,a6] |
Generators |
[68:726:1] |
Generators of the group modulo torsion |
j |
-2195200000/2737867 |
j-invariant |
L |
10.137266998432 |
L(r)(E,1)/r! |
Ω |
0.47915758964736 |
Real period |
R |
2.1156436248649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800d1 37400j1 |
Quadratic twists by: -4 5 |