Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050bx |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-73093662720000 = -1 · 214 · 32 · 54 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -5 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70263,7151181] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-1558:1] [379:-6118:1] |
Generators of the group modulo torsion |
j |
-61379613231690625/116949860352 |
j-invariant |
L |
10.128057139055 |
L(r)(E,1)/r! |
Ω |
0.61467938759678 |
Real period |
R |
0.032692411478038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150co1 37050ba1 |
Quadratic twists by: -3 5 |