Atkin-Lehner |
2+ 3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050k |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-540189000000 = -1 · 26 · 37 · 56 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5050,140500] |
[a1,a2,a3,a4,a6] |
j |
-911826451873/34572096 |
j-invariant |
L |
1.8360261406435 |
L(r)(E,1)/r! |
Ω |
0.91801307030454 |
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 |
111150ep1 1482i1 |
Quadratic twists by: -3 5 |